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# Quantitative Aptitude :: Square Root and Cube Root

## Square Root and Cube Root Important Formulas

1. Square Root:

If x2 = y, we say that the square root of y is x and we write $$\sqrt{y}$$ = x.

Thus, $$\sqrt{4}$$ = 2, $$\sqrt{9}$$ = 3, $$\sqrt{144}$$ = 12.

2. Cube Root:

The cube root of a given number x is the number whose cube is x.

We, denote the cube root of x by $$\sqrt[3]{x}$$.

Thus, $$\sqrt[3]{27}$$ = 3 x 3 x 3 = 3, $$\sqrt[3]{343}$$ = 7 x 7 x 7 = 7 etc.

Note:

1. $$\sqrt{xy}$$ = $$\sqrt{x}$$ x $$\sqrt{y}$$

2. $$\sqrt{\frac{x}{y}}$$ = $$\frac{\sqrt{x}}{\sqrt{y}}$$ = $$\frac{\sqrt{x}}{\sqrt{y}}$$ x $$\frac{\sqrt{y}}{\sqrt{y}}$$ = $$\frac{\sqrt{xy}}{y}$$

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