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Question

Find the number of digits in the square roots of 1764.


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Solution

Compute the required number of digits:

The number 1764 can be written as

1764=2x2x3x3x7x7

=22×32×72

So the square root is

1764=22×32×72

=2×3×7=42

Hence, the number of digits in the square root of 1764 is 2.


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