5

7 Explain why the product of a nonzero rational num- ber and an irrational number is an irrational number:...

Question

7 Explain why the product of a nonzero rational num- ber and an irrational number is an irrational number:

7 Explain why the product of a nonzero rational num- ber and an irrational number is an irrational number:



Answers

Explain why the sum of a rational number and an irrational number must be irrational.

We're being asked to explain by negative seven is a rational number. Well, can it be written as a fraction? That would make it a rational number? Well, it can be if we take negative seven and put it over one negative seven divided by one is still negative. Seven. So perfect.

Every irrational number is a real number. So irrational numbers include things like high or the spare of five. And they're riel, So irrational. Numbers are a subset of rational numbers, but it doesn't work. The other way is if we think about some rational numbers, um, or excuse me, not rational, but some real numbers. I said rational here. I'd definitely met Riel. Irrational numbers are a subset of real numbers, but every real number like to Okay, she was a real number seven is a real number. They are not elements of the set of irrational numbers because they are elements of the set of rational numbers.

So in this question, we want to prove or disprove that product off a non zero rational number and a rational number is irrational. So we'll do here is we'll assume the cost of a suit will provide contradictions. So first, the xB a rational number be rational or irrational. And why be some rational, double Russia rational more sequences there? Then we'll assume our contradiction that ext time. Why? Why is a rational number? The problem is, if x times by, why is a rush? Remember that it implies that both x x and y are nationals. So that however cues um lots, Yeah, is that it just means that the rational monster not mature, rational others. But the problem is, we only made the assumption that X is irrational, Mom. So were the assumption that X is not in this. Several is not in the Russian numbers, said Syria. So therefore we have arrived to a contradiction, which means that this assumption right here is wrong to therefore X times. While wire is in fact you rational

A rational number means that you can read it as a fraction. The technical formula is a over B where a and B have to be imagers. So if I take any imager, for example, if I take 10 I can always write that as a fraction. I could write it as 20 over to I could write. It is negative 30 over negative three. I could do that for any imager. So if I have negative six, I could write that is negative 12/2 etcetera. So any anedge er can be written as a fraction, which means it is a subset. Eso every imager is a rational number.


Similar Solved Questions

5 answers
For the figure below, (a) Find the tension (b) Find the acceleration (c) What is the maximum height does the 2 kg rise?4kg2kg
For the figure below, (a) Find the tension (b) Find the acceleration (c) What is the maximum height does the 2 kg rise? 4kg 2kg...
5 answers
Note: We often will abbreviate the intermedliate value theorem as just IVT. Feel free to use this abbrevia- tion in your worklExample27 . Use the IVT to show that f(r) = Ttakes on the value 10 for some € in [1..2]. Clearlyjustify vour answer with mathematical reasoningl
Note: We often will abbreviate the intermedliate value theorem as just IVT. Feel free to use this abbrevia- tion in your workl Example 27 . Use the IVT to show that f(r) = T takes on the value 10 for some € in [1..2]. Clearly justify vour answer with mathematical reasoningl...
5 answers
Jltrc JZIz Vu.81al Q2869 {12440 9132
Jltrc JZIz Vu.81al Q2869 {12440 9132...
3 answers
What mass %f precipitale forms when 141.5 mL of sodium hydroxide with concentration of 0.562 mol/L is mixed with excess aluminum sulfale? (5)
What mass %f precipitale forms when 141.5 mL of sodium hydroxide with concentration of 0.562 mol/L is mixed with excess aluminum sulfale? (5)...
2 answers
Explain why each of the following not vector spaccs The set of polynomials with coeficients greater than cqual zeroThe %et of diverging sequences: {f:N-RIJlirg f(n) does not exist}The zet of all 2-vectore with ncrm lea3 than 1: {#eR' |lzll < 1}
Explain why each of the following not vector spaccs The set of polynomials with coeficients greater than cqual zero The %et of diverging sequences: {f:N-RIJlirg f(n) does not exist} The zet of all 2-vectore with ncrm lea3 than 1: {#eR' |lzll < 1}...
5 answers
45L sudmissionused tor Vout0/6,66 POiNtSPROMOUS ANSIVERSOScOLPHYS2016 24.3. 006.ud micfowave Ineautnol arc authontenT crowjvC Ovens 830 and 2600 MPL Culcula? the navcenorErlednachTrcquenc;BBO MHz) Mmcoucno; 7600 MHz)Which (requency (In HAI would producesMallcr hoi{pC eJonds ducInterferemc clectstMhZAdditlonal MaterlaleReadin
45L sudmission used tor Vout 0/6,66 POiNtS PROMOUS ANSIVERS OScOLPHYS2016 24.3. 006. ud micfowave Ineautnol arc authonten T crowjvC Ovens 830 and 2600 MPL Culcula? the navcenor Erlednach Trcquenc; BBO MHz) Mmcoucno; 7600 MHz) Which (requency (In HAI would producesMallcr hoi{pC e Jonds duc Interferem...
5 answers
0222/19Scopin61641 Question (1polnt}) Drenonedanon totorceeteDic < TartDororonyeitotettcCioockmTrendnwtheErcdut cthorektion FneoortotnIstattempt4SeFerlod- bab"eSHntnatn13wd*]ea s3ecommandcommondooton
0222/19 Scopin616 41 Question (1polnt}) Drenonedanon totorceeteDic < TartDororonyeitotettc Cioockm TrendnwtheErcdut cthorektion Fneoortotn Istattempt 4SeFerlod- bab"e SHnt natn 13 wd*]ea s 3e command commond ooton...
5 answers
[-/10 Polnts]DETAILSSERCP11 21.2. 009-My NoTESAsk Your TEACHERPractice ANOTHERWncn OHE capacitor {ho zJurco?connocecddlnmtror Lanona mneoeDuEhu Eufcunite clrcult obtarrad to ba 0,J5 Whaty tna (requency @fNoad Help?1-/10 Pelnts]DETAILSSercP11 21.,p.013.MY NOTESASk YOUR TEACHERPracTice ANOTHERAnanduciornar 55.4- Eicacact Vner connecthi 0 H: Encic Hos-VIm: vOllede Wunai Tecnut @uuen:In tnv Induc cInducor6emigl and ehan connuceociHothraulicsnreuceNcad Holp?
[-/10 Polnts] DETAILS SERCP11 21.2. 009- My NoTES Ask Your TEACHER Practice ANOTHER Wncn OHE capacitor {ho zJurco? connocecd dlnmtror Lanona mneoeDu Ehu Eufcuni te clrcult obtarrad to ba 0,J5 Whaty tna (requency @f Noad Help? 1-/10 Pelnts] DETAILS SercP11 21.,p.013. MY NOTES ASk YOUR TEACHER PracTic...
5 answers
Step 5; GRAPHSketch bx-hand graph using all the above information: Label all points 0f interest:And Ifinally: &0 check ycurself with Destros. Be sure ou can mzke nioe presentation qualit; graph xith all the features You fcund clearky labeledn i:
Step 5; GRAPH Sketch bx-hand graph using all the above information: Label all points 0f interest: And Ifinally: &0 check ycurself with Destros. Be sure ou can mzke nioe presentation qualit; graph xith all the features You fcund clearky labeledn i:...
5 answers
For which of the following compounds will the (M+2) *" peak Intensity be around one tnird na Mtencd uamckeadacn frtn CH3CH2CHzClb: CH3CH2CH2CH3CHBCH2CHzOH
For which of the following compounds will the (M+2) *" peak Intensity be around one tnird na Mtencd uamckeadacn frtn CH3CH2CHzCl b: CH3CH2CH2CH3 CHBCH2CHzOH...
5 answers
How many mL of 16M HCl are needed to prepare 150 mL of a 8.00 M HCl solution?
How many mL of 16M HCl are needed to prepare 150 mL of a 8.00 M HCl solution?...
5 answers
Question 6: (4 Mark8) Three carts of masses m, = 5kg mz = 8kg and mg = 3 kg move on a frictionless; horizontal track with speeds of u1 4m/s to the right, uz = 3 m/s to the right and uz = 6 m/s to the left, colliding simultaneously as shown in the following diagram UIUg43Figure attached on the sides make the carts t0 stick together after Velero tpe couplers
Question 6: (4 Mark8) Three carts of masses m, = 5kg mz = 8kg and mg = 3 kg move on a frictionless; horizontal track with speeds of u1 4m/s to the right, uz = 3 m/s to the right and uz = 6 m/s to the left, colliding simultaneously as shown in the following diagram UI Ug 43 Figure attached on the s...
5 answers
Given B =23 (" critical value is 2 and our Standard error is 3 construct confidence interval for Bl21.5-24514-3217-290 22-24
Given B =23 (" critical value is 2 and our Standard error is 3 construct confidence interval for Bl 21.5-245 14-32 17-29 0 22-24...
5 answers
Question 10 Not yet answeredIf bacterial cells were treated with chemical known to cause DNA damage; the resulting mutations would be consideredPoints out of 1.00Select one:induced:Flag questionsilent.spofitaneous_transductive_horizontal:
Question 10 Not yet answered If bacterial cells were treated with chemical known to cause DNA damage; the resulting mutations would be considered Points out of 1.00 Select one: induced: Flag question silent. spofitaneous_ transductive_ horizontal:...
5 answers
Let I = JJR f(*,y) dA = Jos f(z,y) dydx _ Sketch the region R: Express double integral with the order of integration reversed (note you can't compute the integral as YOu don't know f(x,y)-
Let I = JJR f(*,y) dA = Jos f(z,y) dydx _ Sketch the region R: Express double integral with the order of integration reversed (note you can't compute the integral as YOu don't know f(x,y)-...
5 answers
" What Question none real V| 0/2 j the - 16 the term above poinged to describe the category the following number slle} {
" What Question none real V| 0/2 j the - 16 the term above poinged to describe the category the following number slle} {...

-- 0.058057--