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Question

Find the square root of 784.


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Solution

Solve for the square root of given number:

Given number is 784

By using the Prime factorization method, we get,

784=2×392=2×2×196=2×2×2×98=2×2×2×2×49=2×2×2×2×7×7

784=2×2×2×2×7×7

Applying square root on both sides,

784=2×2×2×2×7×7

=2×2×7

=28

784=28

Hence, the square root of 784 is 28.


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