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

(i) 64  (ii) 144  (iii) 4489  

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1 Answers

(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.

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