# 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