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

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

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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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