5

Vu gives lather leasily 1 Isqap...

Question

Vu gives lather leasily 1 Isqap

Vu gives lather leasily 1 Isqap



Answers

$$\text { Let } A=\left[\begin{array}{rr} -1 & -1 \\ 1 & 1 \end{array}\right]$$

Okay. What does it mean to rationalize the denominator, rationalize the denominator is to get the square root out the denominator. And how do I do that? Well, I multiplied by something to the top and bottom. That cancels the square root. So what's going to cancel the square root? Well, if I multiplied by the square root of five, one hat one half times one half. When I'm multiplying exponents with the same base, I can add them. So what ends up happening? I just get five to the first, which is just five. So my square roots end up canceling. But whatever I do to one fraction I have to do to the one part of the fraction of due to the other part. So combining terms one time squared five, this squared five Over, squared five times square to five. It's just five. So that's how I get the square root out of the denominator.

The given question is one divide by under root virus to the power five. Now we have to regionalize the denominator. Here we can see that there is a radical in the denominator. So first we have to remove it by multiplying the numerator and denominator by virus to the power five. So we can write it as one multiplied by Vai and the root virus to the power five. Divide by and the root virus to the power five whole race to the power to after simplifying we get and the root virus to the power five. Divide by virus to the power five. Now simplify the numerator. We get virus to the power to multiply by underwrote virus to the power one divide by virus to the power five now converted into lowest form. We get under root y divide by virus to the power three and this is our final answer

What's up, everyone? Today we're gonna look a problem. One over five minus three and our directions for this problem going to be rationalized the denominator. So before we actually tackle this problem directly, let's just look at the directions solving these rationalization problems. Just generally, that first step is going to me multiplying the numerator and denominator. Why don't you get too quickly review what the congregation is? We are just taking the expression with around going and they're floating on. The new expression is going to be the congregate that we were melted pleasant. I live right after that. If you still want me starting now, we're just going to simplify whatever we multiply out on. Then hopefully from there I will have your final answer. The less you what? We could deal with this problem. I'm still are Times you get, uh, is going to be five plus three and that is going to be as of seven are directed by devout mater Moving along here, uh, quickly. We have five plus three and weigh a little more work than after four months after the first time. The 25 hours we are down there with Mark times three with Marta sign in the middle and then the last time, life with last time last, which is a minus 33 That was a positive or three. Where in mines, Really? So after that, we already know our directions are going to be to simplify, to finish off for work and the numerator. We can't really simplify anything, so we're gonna keep it as is, but in the denominator, we have a couple of things that we can do. So we have the five threes that will cancel. So we're left with just 25 minus three, and that is going to be 22 or white sent our final answer.

Hi. There is a problem in which we need to rationalize the denominator. There is a new need of restoration because we have irrational number in the denominator because Route three is an irrational number. And so we need to make denominator free from any rest. Remember, For this we just need to multiply and divide same expression, but oppose it, saying I mean to say five will demand the same bless the route three because he rated minus two or three years plus route three and multiplied by five plus or three and divide by five, plus the road three. We need to divide by the same but because when we can sell it out, it will get the same expression as earlier. So this name retreated one. And this if I place road three. So it is multiplication. So we need to multiply numerator with numerator. And the denominators did Denominator five minus root three with five. Bless. So let us recall it. Formula A minus bi a plus B equals toe a square minus b squared. We will use this formula over here. No, our expression becomes five. Bless Route three divided by. By using this, we get five squared minus, but hold three square five. Bless Route three. Divide way 25 minus three. Because Lord three multiple Berruti becomes three. So it is fired three by 22 her hands. I would and so would be five. Bless rule three over 22 are won by 22 multiplied. Where by bless Rule three both are there same. You just the defendant is any different, but both mean the same.


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