Question

simplify. assume t is greater than or equal to zero. \sqrt{20t^{9}}

Explanation:

Step1: Factor into perfect squares

$\sqrt{20t^9} = \sqrt{4 \cdot 5 \cdot t^8 \cdot t}$

Step2: Split the square root

$\sqrt{4} \cdot \sqrt{5} \cdot \sqrt{t^8} \cdot \sqrt{t}$

Step3: Simplify perfect square roots

$2 \cdot \sqrt{5} \cdot t^4 \cdot \sqrt{t}$

Step4: Combine like radical terms

$2t^4\sqrt{5t}$

Answer:

$2t^4\sqrt{5t}$