# Square Root and Cube Root - Shortcuts and Formulas

Square Root and Cube Root Questions - Page 2
Square Root and Cube Root Video Lecture - Page 3

## Square Root of a Number

The square root of a number is that number , the product of which by itself , is equal to the given number.

## Important Example for Square Root and Cube Root

Example 1: The square root of x is denoted by 

Thus  etc.

Square Root of Factorization: When a given no is perfect square we resolve it in to prime factors and take the product of prime factors. choosing one out of every pair

Example 2: Given that  = 3.8729 evaluate 

Solution: 

= 

= = 

 = 4+3.8729 = 7.8729

Example 3: if  = 37 find the value of 

Solution: Given expression is , 

= = 3.7+0.37+0.037 = 4.107

Cube Root of a Number: The cube root of a number x is the number whose cube is x . we denote cube root of x by 

Cube Root of Factorization: Resolve the given number in to prime factor and take the product of prime number .

thus  =7