LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

INTRODUCTION OF SQUARE & SQUARE ROOTS

**SQUARE & SQUARE ROOTS**

**If a number is multiplied by itself, we get a ‘Squared Number’ , also called a ‘Perfect Square’. For example, 5 x 5 = 5², so 25 is a perfect square and 5 is said to be the square root of 25. **

**The symbol of the square root is √ or ( )½. Suppose the square root of x is y, if x = y².**

** Therefore we write √25 = 5 or ( 25 )½ = 5**

** There are some example of square root is given below –**

** 8 x 8 = 8² = 64, so the square root of 64 is 8 ( √64 = 8 )**

** 12 x 12 = 12² = 144, so the square root of 144 is 12 ( √144 = 12 )**

**If we multiply negative ( - ) value number by itself repeatedly then we will consider only the positive value of a square root.**

** 5² = 25 or (-5)² = 25 or (± 5)² = 25, so √25 = ± 5**

**Similarly, 11² = 121 or (-11)² = 121 or (± 11)² = 121, so √121 = ± 11**

** 13² = 169 or (-13)² = 169 or (± 13)² = 169, so √169 = ± 13 **

** 24² = 576 or (-24)² = 576 or (± 24)² = 576, so √576 = ± 24**

**To find the square root of a number –**

**There are two ways of finding the square roots of large numbers**

**1) by prime factorization, 2) by division**