Question

What is the following product? Assume x≤0 and y≤0

Answer 1

I just took the pretest and got B for the answer

Answer 2

Answer : The correct option is, $10x^5y\sqrt{6xy}$

Step by step explanation :

The given expression is, $\sqrt{5x^8y^2}\times \sqrt{10x^3}\times \sqrt{12y}$

By solving this expression, we get

$\Rightarrow \sqrt{5x^8y^2}\times \sqrt{10x^3}\times \sqrt{12y}\\\\\Rightarrow \sqrt{5x^8y^2\times 10x^3\times 12y}\\\\\Rightarrow \sqrt{600x^{11}y^3}\\\\\Rightarrow \sqrt{6\times 100\times x^{10}\times x\times y^2\times y}\\\\\Rightarrow \sqrt{100\times x^{10}\times y^2}\times \sqrt{6xy}\\\\\Rightarrow 10x^5y\sqrt{6xy}$

Hence, the correct option is, $10x^5y\sqrt{6xy}$