Quantitative Aptitude :: Square Root and Cube Root
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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 \(\frac{\sqrt{y}}{\sqrt{y}}\) = \(\frac{\sqrt{xy}}{y}\)