Question

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different methods of finding root (√)

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Answer 1

There are few methods for finding square root (√)

Some of the methods are:-

• Finding square root by using repeated subtraction method

For example :

Finding square root of 100 by using the method of repeated subtraction :

Solution :

=> 100 - 1 = 99

=> 99 - 3 = 96

=> 96 - 5 = 91

=> 91 - 7 = 84

=> 84 - 9 = 75

=> 75 - 11 = 64

=> 64 - 13 = 51

=> 51 - 15 = 36

=> 36 - 17 = 19

=> 19 - 19 = 0

Since from 100 we subtracted successive odd number starting from 1 and obtained 0 at the 10th step. Therefore, √100 = 10

• Finding square root by using prime factorisation method

For example :

Finding the square root of 5929 by using Prime factorisation method :

Solution :

The prime factorisation of 5929 is :

5929 = 7 × 7 × 11 × 11

By pairing the prime factors, we get,

7 I 5929

7 I 847

11 I 121

I 11

5929 = 7 × 7 × 11 × 11

So, √5929 = 7 × 11 = 77

Answer 2

Answer:

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