Question

What is the following sum? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0 StartRoot x squared y cubed EndRoot + 2 StartRoot x cubed y Superscript 4 Baseline EndRoot + x y StartRoot y EndRoot

Answer 1

Answer:

option(B) is the correct answer.

Step-by-step explanation:

Step 1:

we are given that $x \geq 0$ and $y \geq 0$.

$\begin{equation*}= \sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}\\= xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}\\= 2xy\sqrt{y}+2xy^2\sqrt{x}\\\end{equation*}$

Hence option (B) is correct.

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