in-3-29-write-each-quotient-in-simplest-form-variables-in-the-radicand-with-an-even-index-are-non--8

Question

In $3-29$ write each quotient in simplest form. Variables in the radicand with an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero. 
$$
\frac{\sqrt{300}}{\sqrt{25}}
$$

M S · Accepted Answer

so we have to square root of 300. Divide about this Gordon 25. So first we can write this under one radical. So we have 300. Get out about 25 and just like any other fraction, we going to sit by reducing about the greatest common factor in this case to go was coming factors. 25. That&#x27;s when you find out about 25 gives us one and 300 divided by 25. Gives us 12 so we have to square it. It&#x27;s whoa. They want to see if we can reduce this further. So let&#x27;s write the factors of 12. So we have lines well, two and six and three and four and I see a perfect square here for So now we want to write these radical tohave. The square root of four and four times three gives us 12 times very 23 when we get simplified this story before, too. And then we bring down too scared of three

M S · Answer

in Orissa. Rightists and simplest form. Let&#x27;s write this all under one radical. So in 50 divided by three. And because we know that three is a factor 150 we can reduce it. So three depart about three is one and what it did about about three gives us 50. So now we have the screw 50 and we can simplify this further. So let&#x27;s start by writing the fact the factors of 15. So we have 1 50 into 25 and five and team. So I see a perfect square here, 25. So we know that this very to 25 will give us five. Let&#x27;s go ahead and write you be and let&#x27;s expand it to celery scoring 25 times two and swear to 25 does thus far. So we have five times spirit, too.

M S · Answer

so we have to scrape a 75 divided by the square to three. So the person you want to do is I&#x27;m gonna separate the we&#x27;re actually gonna write as a faction. So spirit of 75 divided by a spirit of three. And I want to split apart Thescore to 75. So I noticed that we have a three and already nominated, and I know that he&#x27;s a factory of 75. So let&#x27;s say scared of three times spirit of 25. Well, it it was split apart. That&#x27;s 3 75 and this also divided by the square and a three. So these two terms of cancel out and we&#x27;re left with this great of 25 then we get simplified that down and so but

Matt Gibson · Answer

when I have a binomial divided by a mono meal. Two terms in the numerator divided by one term in the denominator. This is the same is dividing both terms in the numerator, by the denominator, it subtraction in the middle. So I need to keep that subtraction. Now. I just divide and reduced the image or parts and the radical parts. So in the first term I can cancel, reduce, and then five goes into 10. This is the same as having the square root of 10 divided by five. It&#x27;s the same thing, so that simplifies to be just the square to to I do the same thing Over here. The three of the nine reduce the five in the 50 reduced debate winds up giving me the square root of so three. The nine divided by three and then square to 50 divided by the square to five, gives me the squared attempt to my final answer.

Matt Gibson · Answer

any time I have a binomial divided by a mono meal. I need to divide both terms in the numerator. By the denominator, this attraction has to be the same in both. This would then continue. I can think of this is the square root one giant square root. I don&#x27;t have to write it this way, but that&#x27;s what&#x27;s happening. So the left part simplifies to be this way. Before this would wind up being the square root of one. It&#x27;s where the four is two minus one. My final answer would be.

Matt Gibson · Answer

So to simplify this problem when I have a radical divided by another radical, this is the same as having one big radical with the other two inside, which makes it easy to simplify. I can divide, since they&#x27;re both even 27 has a perfect square. This would be the same is nine times three, so this would be the squared of nine times the square to three, which simplifies to be three times the square root.

Problem

In $3-29$ write each quotient in simplest form. V…

Problem 10 Easy Difficulty

In $3-29$ write each quotient in simplest form. Variables in the radicand with an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero.
$$
\frac{\sqrt{300}}{\sqrt{25}}
$$

Answer

2$\sqrt{3}$

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2$\sqrt{3}$

Algebra 2 and Trigonometry

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Ann Xavier Gantert

Algebra 2 and Trigonometry