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Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers.$\frac{6}{\sqrt{12}}$

$\sqrt{3}$

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Chapter 3

REAL NUMBERS AND RADICALS

Section 7

Rationalizing a Denominator

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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Rationalize the denominato…

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Rationalize each denominat…

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So we have six over the square to 12. So because we have a radical in our denominator, they want to multiply. This happened bottom by that radical. So most planets hopping bottom by this query to 12. So this simplifies into six times. Great of 12 over 12. Figure it is the top and bottom by divided by six. That becomes one. That becomes too. So we have the square, uh, 12 over too. But something I noticed about 12 is that we can simplify that further also. So let's think about the factors of 12. Have one and swell to in six and three and four. Firstly, a perfect square here. So I'm gonna use this pier here to separate it. So we have this great of three times square before All over too. And this girl, before we give us too, your lift was go to three. It r two's will counsel well, and we're left with the square root of three

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