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Question

How do you simplify the square root of 72?


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Solution

Simplify the square root.

Given: 72

Factorize 72

72=12×6=4×3×2×3=2×2×3×2×3=2×2×3×3×2=22×32×2

Since we know that 72 can be written as, 7212

7212=22×32×212=2212×3212×212=222×322×212=21×31×212=62

Hence, the simplified form of 72 is 62


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