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Q.2 Find the number of digits in the square root of each of the following numbers (without any calculation).

(i) 64

(ii) 144

(iii) 4489

(iv) 27225

(v) 390625

Answers (1)

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(i) 64:-     The number of digits in the square root will be

                                  \frac{n}{2} = \frac{2}{2 } = 1

 

(ii) 144:-   The number of digits in the square root will be

                                 \frac{n+1}{2} = \frac{4}{2 } = 2

 

(iii) 4489:- The number of digits in the square root will be

                             \frac{n}{2} = \frac{4}{2 } = 2

 

(iv) 27225:-  The number of digits in the square root will be

                          \frac{n +1 }{2} = \frac{6}{2 } = 3

 

(v) 390625:-   The number of digits in the square root will be

                           \frac{n }{2} = \frac{6}{2 } = 3

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Devendra Khairwa

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