Question

find the prime factorization the square root of the following number is 2916

Answer 1

2×2×3×3×3×3×3×3
square of 2916 is 54

Answer 2

$2916 = 2 \times 2 \times 3 \times 3\times 3 \times 3 \times 3 \times 3$

$\: \: \: \: \: \: \: \: \: \: = 2 {}^{2} \times 3 { }^{2} \times 3 {}^{2} \times 3 {}^{2}$

$\sqrt{2916} = \sqrt{2 {}^{2} \times 3 {}^{2} \times3 {}^{2} \times 3 {}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 3 \times 3 \times 3 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 54$

$I \: \: hope \: \: it \: \: will \: \: help \: \: you.$