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Question

What is the square root of 1600?


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Solution

Determine the square root of 1600.

The square root of a number is the value that returns the original number when multiplied by itself.

Find the prime factors of1600:

1600=2×2×2×5×2×2×2×5

Take square root from both sides of the above equation:

1600=2×2×2×5×2×2×2×51600=2×2×2×2×2×2×5×51600=2×2×2×51600=40

Hence, the square root of 1600 is 40.


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