Question

find the square root using prime factorization method of 729​

Answer 1

$729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \\ 729 = 27 \times 27 \\ 729 = {27}^{2} \\ \sqrt{729} = \sqrt{ {27}^{2} } \\ = 27$

Answer 2

$\sqrt{729}$

$\sqrt{3 \times 3 \times 3 \times 3 \times 3 \times 3}$

$\sqrt{ {3}^{2} \times {3}^{2} \times {3}^{2} }$

$3 \times 3 \times 3$

$27$