Question

Divide and simplify. Assume that all variables are positive.

Answer 1

Answer:

$2y\sqrt{2x}$

Step-by-step explanation:

For this we have to divide like normally but for the exponents we will subtract them since this is a division problem. We would've added them if we were multiplying.

$\frac{\sqrt{32x^5y^8}}{\sqrt{4x^4y^6}}=\sqrt{8xy^2}$

Now we will split the 8 into 4 and 2. Also we can take the square root of y² while we're at it.

$y\sqrt{4}\sqrt{2x}$

Now we take the square root of 4.

$2y\sqrt{2x}$