Question

simplify. assume d is greater than or equal to zero.\\(sqrt{45d^{10}}\\)

Explanation:

Step1: Factor radicand into squares

$\sqrt{9 \times 5 \times (d^5)^2}$

Step2: Separate perfect square factors

$\sqrt{9} \times \sqrt{(d^5)^2} \times \sqrt{5}$

Step3: Simplify perfect square roots

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

Step4: Rearrange terms

$3d^5\sqrt{5}$

Answer:

$3d^5\sqrt{5}$