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
(i) By placing bars, we get
64 = 6̅4̅
Since there is only one bar, the square root of 64 will have only one digit in it
(ii) By placing bars, we get
144 = 1̅ 4̅4̅
Since there are two bars, the square root of 144 will have 2 digits in it
(iii) By placing bars, we get
4489 = 4̅4̅ 8̅9̅
Since there are two bars, the square root of 4489 will have 2 digits in it
(iv) By placing bars, we get
27225 = 2̅ 7̅2̅ 2̅5̅
Since there are three bars, the square root of 27225 will have three digits in it
(v) By placing the bars, we get
390625 = 3̅9̅ 0̅6̅ 2̅5̅
Since there are three bars, the square root of 390625 will have 3 digits in it