in-3-29-write-each-quotient-in-simplest-form-variables-in-the-radicand-with-an-even-index-are-non-22

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. 
$$
\frac{5+6 \sqrt{5}}{\sqrt{5}}
$$

M S · Accepted Answer

So we have five plus six times greater by all over two square beautified. So the first thing I&#x27;m gonna do is separate these instituted with fractions. So why bother us where to buy plus six rebar ever to swear to God. So from the first fraction pair, since we have this radical in the denominator, we need to know ahead. Rationalize it. That just means we&#x27;re gonna multiply the top and bottom by the denominator. So when the most part of top of bottom by scurry by, so have five right by on top and on the bottom. Two radicals council out, and we live with five and then diesel counsel. And from our second fraction, we noticed that we have scary Bible on top and the bottom. So those also counsels. So we have a plus six here that would simplify this down and whispered by bus

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

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.

M S · 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

Matt Gibson · Answer

when I want to simplify this problem, first thing I&#x27;m going to do is write it as a fraction. I just think it&#x27;s easier. Look at it that way. Since they&#x27;re both radicals, this is the same as having one big radical of a fraction, so that so Now I can simplify what&#x27;s inside. Six goes into 24 4 times I have the square root of four, which gives me.

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 24 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.
$$
\frac{5+6 \sqrt{5}}{\sqrt{5}}
$$

Answer

$6+\sqrt{5}$

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$6+\sqrt{5}$

Algebra 2 and Trigonometry

Ann Xavier GantertAlgebra 2 and Trigonometry

Ann Xavier Gantert

Algebra 2 and Trigonometry