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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. $$\frac{3 \sqrt{10}-9 \sqrt{50}}{3 \sqrt{5}}$$

$\sqrt{2}-3 \sqrt{10}$

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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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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'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.

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