Question

simplify. multiply and remove all perfect squares from inside the square roots. assume b is positive. 2√(8b³)·9√(18b) =

Explanation:

Step1: Multiply coefficients and radicals

$(2 \cdot 9) \cdot \sqrt{8b^3 \cdot 18b}$
$= 18 \cdot \sqrt{144b^4}$

Step2: Simplify the square root

$\sqrt{144b^4} = \sqrt{12^2 \cdot (b^2)^2} = 12b^2$

Step3: Multiply remaining terms

$18 \cdot 12b^2$
$= 216b^2$

Answer:

$216b^2$