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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.$$\sqrt{12}$$

2$\sqrt{3}$

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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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So here we have the square root off 12. Okay. What? This could be rewritten as just a square root. 12 is well four times three. Right. So the square root of 12 is just a square root of four times three. But then once you have a product ins under your square root, you can and separate this. This is equal to the square root of four times the square root of three. Or you can think of it like once you have a perfect square. The squid of four is too. So that would come outside of your radical and that you're still left with a three underneath your radical. So the square root of four times three that's equal to to write the square four is, too. But then times the square root of three. So therefore the square root of 12 is equal to two times the square root of three. All right, take her

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