Question

1. $sqrt{75m^{16}n^{7}}=$

Explanation:

Step1: Factor radicand into squares

$\sqrt{25 \times 3 \times m^{16} \times n^{6} \times n}$

Step2: Separate square factors

$\sqrt{25} \times \sqrt{m^{16}} \times \sqrt{n^{6}} \times \sqrt{3n}$

Step3: Simplify square roots

$5 \times m^{8} \times n^{3} \times \sqrt{3n}$

Step4: Combine terms

$5m^{8}n^{3}\sqrt{3n}$

Answer:

$5m^{8}n^{3}\sqrt{3n}$