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Find the square root of 7056 by using the method of prime factorization.

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Find the square root of 7056 by using the method of prime factorization.

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Given 7056 A square can always be expressed as a product of pairs of equal factors

Resolve the given number into prime factors

We get 7056 =2 × 2 × 2 × 2 × 3 × 3 × 7 × 7

√7056=2 × 2 × 3 × 7 = 84

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