Question

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

(i) 27225 (ii) 390625

Answer 1

(i) By placing bars, we obtain

27225 = bar2 bar(72) bar(25)

Since there are three bars, the square root of 27225 will have three digits in it.

(ii) By placing the bars, we obtain

390625 = bar(39) bar(06) bar(25)

Since there are three bars, the square root of 390625 will have 3 digits in it.