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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.$$\sqrt{\frac{4 a^{4}}{25}}$$

$\frac{2 a^{2}}{25}$

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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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we have the square root of 48 to the fourth all over 25. So well, I see as a lot of perfect squares under this square root. So this is equal to actually write this as the square root of well off 48 to the fourth over the square root of 25 then notice how in the numerator four is a perfect square and so is a to the fourth right with the numerator can be rewritten that we written as the square root of four times the square root of aid to the fourth over. The square root of 25 a square before is just equal toe to right in the square root of aid to the fourth. That's a square, because a square times a square is a to the fourth, so we have to just to a square in our numerator. And then, of course, the square root of 25 is just equal to five. So this is going to simplify down to well to a squared over 25

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