Question

PLEASE HELP WILL GIVE BRAINLIEST! What is the following sum? Assume x > or equal to 0 and y is > or equal to 0.

Answer 1

Answer:

Option (b) is correct.

The sum of given expression  $\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}$ is  $2xy\sqrt{y}+2xy^2\sqrt{x}$

Step-by-step explanation:

Given:Expression $\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}$

We have to find the sum of the given expression and choose the correct from the given options.

Consider the given expression  $\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}$.

$\sqrt{x^2y^3}$ can be written as $\sqrt{x^2y^2y}=xy\sqrt{y}$

Also, $2\sqrt{x^3y^4}$ can be written as $2\sqrt{x^3y^4}=2\sqrt{x^2x(y^2)^2}=2xy^2\sqrt{x}$

Now, the given expression becomes,

$\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}$

$=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}$.

Now, adding like term, terms having same variable with same degree.

$=2xy\sqrt{y}+2xy^2\sqrt{x}$.

Thus, The sum of given expression  $\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}$ is  $2xy\sqrt{y}+2xy^2\sqrt{x}$