Question

simplify. assume ( b ) is greater than or equal to zero. (sqrt{75b^{10}})

Explanation:

Step1: Factor radicand into squares

$\sqrt{75b^{10}} = \sqrt{25 \times 3 \times (b^5)^2}$

Step2: Separate perfect square factors

$\sqrt{25 \times (b^5)^2} \times \sqrt{3}$

Step3: Simplify perfect square roots

$5b^5 \times \sqrt{3}$

Answer:

$5b^5\sqrt{3}$