Question

find the square root of 1296 by the prime factorization method​

Answer 1

Answer:

Answer is 36

Step-by-step explanation:

Square Root of 1296 by Prime Factorization Method

Prime factorization of 1296: 24 × 34

Prime factors of 1296 in pairs: (2 × 2) × (2 × 2) × (3 × 3) × (3 × 3)

Square root of 1296: √((2 × 2)2 × (3 × 3)2) = (2)2 × (3)2 = ±36.

Therefore, √1296 = ±36.

Answer 2

Answer:

Resolving 1296 into prime factors, we get

1296=(2×2)×(2×2)×(3×3)×(3×3)

√1296=2×2×3×3

√1296=36

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