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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.$$\sqrt{\frac{15}{8 b^{3}}}$$

$\frac{2 a \sqrt{3 a b}}{9 b^{2}}$

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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 for this exercise, we're going to be simplifying the term route 15 over eight. Be cube. Now 15 cannot be decomposed into any perfect square, so it's gonna have to stay inside the radical. However, the one over eight term can be rewritten, as is gonna include that 15 right there. One over two times four and four is a perfect square, so it can be taken outside of the radical. And then we can rewrite that beat of the third term as one over B squared times one over B. And of course, this one over B squared turn can be taken outside of the radical. So if we take that four outside of the radical becomes a 1/2. And if we take this B squared term outside of becomes one over B So our final answer is going to be 1/2 be radical. 15 over to be

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