Which expression is equivalent to $\sqrt{B x^{2} y^{8}}$ ? Assume $x \geq 0$. \begin{aligned} & \text { ○ } x y^{2} \sqrt{B x^{3}} \\ & \text { ○ } 2 x^{3} y^{3} \sqrt{x y^{2}} \\ & \text { ○ } 2 x^{3} y^{4} \sqrt{2 x} \\ & \text { ○ } 4 x^{3} y^{4} \sqrt{x} \end{aligned}
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Answer

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Step 1
: Identify the formula for simplifying a square root of a product.

The square root of a product is the product of the square roots of the factors: $$\sqrt{a b} = \sqrt{a} \sqrt{b}

Step 2
: Apply the formula to the given expression.

\sqrt{B x^{2} y^{8}} = \sqrt{B} \sqrt{x^{2}} \sqrt{y^{8}}

Final Answer

x y^{4} \sqrt{B x}