Question

Find the square root of factors factors 5625/441

Answer 1

$\sqrt{\big(\frac{5625}{441}\big)}$

$= \sqrt{\frac{3^{2}\times 5^{4}}{3^{2} \times 7^{2}}}\\= \frac{3 \times 5^{2}}{3\times 7}\\= \frac{5^{2}}{7} \\= \frac{25}{7}$

Therefore.,

$\red{\sqrt{\big(\frac{5625}{441}\big)}}\green {=\frac{25}{7}}$

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