Sample Material of Online Coaching For SSC CGL (Tier - 2) - Square Root & Cube Root

Sample Material SSC CGL TIER-2 Online Coaching

Numerical Aptitude (Chapter - Square Root & Cube Root)

Square Root

The square root of a number is that number the product of which itself gives the given number, ie, the square root of 400 is 20, the square root of 625 is 25.
The process of finding the square root is called evaluation. The square root of a number is denoted by the symbol called the radical sign. The expressionis read as “root time”, “radical nine” or “the square root of nine”.

How to Find the Square Root of an Integer?

(i) By the method of Prime Factors: When a given number is a perfect square, we resolve it into prime factors and take the product of prime factors, choosing one out of every two.

(ii) By the method of Long Division: This method can be used when the number is large and the factors cannot be determined easily. This method can also be used when we want to add a least number or to subtract a least number from a given number so that the resulting number may give a perfect square of some number.
Example 1: Find the square root of 156816.
Solution.

Cube Root

The cube root of a number is that number the cube of which itself gives the given number ie, the cube root of 64 is 4. The cube root of a number is denoted by the symbol .The expressions read as “cube eight”, or the “cube root of eight”.

To Find the Cube Root of an Integer

(i) By the method of prime factors: When a given number is a perfect cube, we resolve it into prime factors and take the product of prime factors, choosing one out of every three.