Question

9216 - Find the square root of this number by prime factorisation method.

Answer 1

Hey Mate !!

The prime Factorization of 9216 is,

9216 = 2 × 2× 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 ×

= 2 × 2 × 2 × 2 × 2 × 3

= 32 × 3

= 96

Therefore,

The Square root of 9216 is 96

Answer 2

Solution :

Resolving the given number

9216 into prime factors , we

get

9216

= 2×2×2×2×2×2×2×2×2×2×3×3

=(2×2)(2×2)(2×2)(2×2)(2×2)(3×3)

Therefore ,

Square root of 9216

= √9216

=√(2×2)(2×2)(2×2)(2×2)(2×2)(3×3)

= 2×2×2×2××2×3

= 96

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