Find the number of digits in the square root of each of the following

1.	Find the number of digits in the square root of each of the following numbers (without any calculation).(i) 64 (ii) 144 (iii) 4489
Answer» (i) By placing bars, we obtain 64 = bar(64) Since there is only one bar, the square root of 64 will have only one digit in it. (ii) By placing bars, we obtain 144 = bar1 bar(44) Since there are two bars, the square root of 144 will have 2 digits in it. (iii) By placing bars, we obtain 4489 = bar(44) bar(89) Since there are two bars, the square root of 4489 will have 2 digits in it.

Find the number of digits in the square root of each of the following numbers (without any calculation).(i) 64 (ii) 144 (iii) 4489

Answer»

(i) By placing bars, we obtain 64 = bar(64)

Since there is only one bar, the square root of 64 will have only one digit in it.

(ii) By placing bars, we obtain 144 = bar1 bar(44)

Since there are two bars, the square root of 144 will have 2 digits in it.

(iii) By placing bars, we obtain 4489 = bar(44) bar(89)

Since there are two bars, the square root of 4489 will have 2 digits in it.