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


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