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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 obtain
Since there is only one bar, the square root of 64 will have only one digit in it.
(ii) By placing bars, we obtain
Since there are two bars, the square root of 144 will have 2 digits in it.
(iii) By placing bars, we obtain
Since there are two bars, the square root of 4489 will have 2 digits in it.
(iv) By placing bars, we obtain
Since there are three bars, the square root of 27225 will have three digits in it.
(v) By placing the bars, we obtain
Since there are three bars, the square root of 390625 will have 3 digits in it.
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