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