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Question

What is the square root of 160?


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Solution

Determine the square root of160.

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

Find the prime factors of 160:

160=2×2×2×5×2×2

Take the square root from both sides of the above equation:

160=2×2×2×5×2×2160=2×2×2×2×2×5160=2×22×5160=4×2×5160=4×1.414×2.236160=4×3.161160=12.644

Hence, the square root of 160 is 12.644.


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