Find the square root.

Bevan Mcdonald
2021-03-08
Answered

Find the square root.

You can still ask an expert for help

Elberte

Answered 2021-03-09
Author has **95** answers

The quotient rule for roots is $\sqrt{\frac{x}{y}}=\frac{\sqrt{x}}{\sqrt{y}}$ .Using this rule gives:

$-\sqrt{\frac{9}{25}}=-\frac{\sqrt{9}}{\sqrt{25}}$

To simplify the roots, we need to use the rule$\sqrt{{x}^{2}}=x$ when x>0. Since $9={3}^{3}$ , then $\sqrt{9}=\left\{{\sqrt{3}}^{2}\right\}=3$ . Since $25={5}^{2}$ , then $\sqrt{25}=\sqrt{{5}^{2}}=5$ . Therefore

$-\frac{\sqrt{9}}{\sqrt{25}}=-\frac{3}{5}$

To simplify the roots, we need to use the rule

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1)

2)

3)

4)