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Show that the quotient of two irrational numbers can be either rational or irrational.

$\frac{3 \sqrt{3}}{\sqrt{3}}=3$$\frac{3 \sqrt{3}}{3 \sqrt{2}}=\sqrt{\frac{3}{2}}$

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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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so we want to show that the quotient of two irrational numbers can be either rational or irrational. So let's take this first scenario, the top two numbers. So we'll have three Route 30 divided by a squared three, since these still counsel out were left with three, which is a rational number. Now let's try the second scenario. So you have to question of through three divided by three root too well that there's will counsel out and look how the square did. Three. Everything's great, too, and we consume the body since he experienced three over two. And as you see, this is an irrational number because it can't be something about any further and it is not repeat. It does what it's not.

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