Question

Find the square root by prime factorization ​1296/3969

Answer 1

Dear student

$\frac{\sqrt{1296}}{\sqrt{3969}}=\frac{\sqrt{2\times 2\times 2\times 2\times 3\times 3\times 3\times 3}}{\sqrt{3\times 3\times 3\times 3\times 7\times 7}}=\frac{2\times 2\times 3\times 3}{3\times 3\times 7}=\frac{36}{63}=\frac{4}{7}\left(\mathrm{simplified}\mathrm{form}\right)$

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