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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. $$\frac{\sqrt{80 x^{2} y}}{\sqrt{30 x y^{2}}}$$

$\sqrt{\frac{8 x}{3 y}}$

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Chapter 3

REAL NUMBERS AND RADICALS

Section 6

Dividing Radicals

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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In $3-29$ write each quoti…

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So we have this girl of 80 times x squared. Why? Divided by this group of 30 times X y squared. So purses right this to her one radical. So have a t X squared. Why divided by 30 x y square. So remember, whatever we have the same basis and we're dividing, you can combine them by subtracting their exponents. So, for example, first, let's reduce our regular numbers here so we can divide them by their degrees. Coming factor. In this case, it's Tyg. So 30 divided by 10 gives us three in 80. Divide about 10 gives us eight, so would have eight over three. And also now we can focus on our variables. So we have X squared divided by X. That's two minus one and only give us one and then we'll have why, And that would be 11 is to give us a negative one. And because we have this negative one and the numerator, we don't really want to have negative exponents. We're gonna go ahead and move it to the bottom. So I ate it over 31

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