Question

Find the square root of 1296 by Prime Factorization

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Solution

Resolving 1296 into prime factors, we get$1296=(2\times 2)\times(2\times2)\times(3\times3)\times(3\times3)$So, square root of $1296=2\times2\times 3\times 3=36$So, square root of \$12961296=(2×2)×(2×2)×(3×3)×(3×3)

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