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In $3-38$ write each expression 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.$$\sqrt{\frac{1}{2 x}}+\sqrt{\frac{1}{2 x}}$$

$\sqrt{\frac{2}{x}}$

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Chapter 3

REAL NUMBERS AND RADICALS

Section 4

Adding and Subtracting Radicals

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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So in this exercise we're going to simplify the expressions radical one over two X plus a radical one over to X now, because both of these radicals are already exactly the same, I don't have to do any manipulation on them to combine them. I just have to add their coefficients, which in this case are both one. So what I have is one plus one times radical one over to X which, of course, simplifies to too radical one over to X.

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