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Without calculating the square root, guess the number of digits in the square root of the following numbers:

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Without calculating the square root, guess the number of digits in the square root of the following numbers:

(i) 14400

(ii) 100000000

(iii) 390625

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1 Answer

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(i) √14400 = √144 x 100 = √144 x √100 = 12 x 10 = 120

(ii) √100000000 = √10000 x 10000 = √10000 x √10000 = 100 x 100 = 10000

(iii) √390625 = √25 x 25 x 25 x 25 = √25 x 25 x √25 x 25 = 25 x 25 = 625

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