Question

Find the square root of 744 by prime factorization method.​

Answer 1

Step-by-step explanation:

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Answer 2

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$\huge\bf{Question:-}$

Find the square root of 744 by Prime Factorization Method.

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$\huge\bf{Solution:-}$

The exponents in the prime factorization are 3, 1, and 1.

Adding one to each and multiplying we get

$(3 + 1)(1 + 1)(1 + 1)$

$= 4 \times 2 \times 2 = 16.$

Therefore 744 has exactly 16 factors.

Taking the factor pair with the largest square number factor, we get

$√744  = \\ (√4)(√186) \\ = 2√186 ≈ 27.27636339397171.$

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