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Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers.$\frac{\sqrt{24}}{2 \sqrt{6}}$

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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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So we have the square root of 24 over two times as growed of six. So we're gonna multiply the top and bottom by this radical and the denominator because we want to get rid of that radical. So we'll have scared of six over squared of six. This becomes 24 times Route six over two times six. So instead of multiplying that big number, I'm going to simplify our 24. So let's talk about our factors of 24 we have one. We're gonna have one and a two and 12 three and one in 24. Sorry Soon's will three and eight in foreign six. So perfect square. I see. Here is this four here. We're gonna have scared of four times every six times, Russi all over two times six, which is 12. So on talk, we see two routes sixties. So that's gonna turn into six over its well. And we can also simplify our screw before which was turned into two. So have 12 over 12 and I will give us one

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