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In $3-38$ , write each radical in simplest radical form. Variables in the radicand of an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero.$$\sqrt{\frac{3 x}{4 y}}$$

$\frac{1}{2} \frac{\sqrt{3} x}{\sqrt{y}}$

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Chapter 3

REAL NUMBERS AND RADICALS

Section 3

Simplifying Radicals

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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In $3-38$ , write each rad…

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we have the square root of three acts over four Y Okay, well, that's gonna be equal to Well, we can write that as a square root of three acts over the square root of for Why? Then notice that while four is a perfect square, you can go ahead. Can read this as one square root up three acts over what its crew before Why is so square root of four? Why, that's equal to again. The square root of four times the square root of why prescribed for his two. That's two times the square root of why. Okay, so in the nominee, we have two times the square root of why, um and that's about all we can do him if you want. I mean, really, we have a 1/2 so I mean, I would say this would be on acceptable answer. We could go ahead and pull out a 1/2. So we have we have 1/2 um, well, 1/2 times Thea square root of three acts over the square root of why that would be another possible answer. Right? The same thing and there's no more perfect squares uses. There's really nothing else you could go on and do further. So there you have it

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