Quantitative Aptitude Free-Study Notes
5.
SQUARE ROOTS AND CUBE ROOTS
A.
Square Root
:
If x2 = y, we say that the square root of y is x and we write, √y = x.
Thus, √4 = 2,
√9 = 3, √196 = 14.
B.
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 3√x.
Note:
(i)
√xy = √x * √y
Thus, 3√8 = 3√2 x 2 x 2 = 2, 3√343 = 3√7 x 7 x 7 = 7 etc.
(ii)
√(x/y) = √x / √y = (√x / √y) * (√y / √y) = √xy / y