Question

Simplify the expression: √18x^4y^3

Answer 1

Answer:

$3x^2y\sqrt{2\cdot y}$

Step-by-step explanation:

We have been given an radical expression. We are asked to simplify our given expression.

$\sqrt{18x^4y^3}$

We can rewrite terms of our given function as:

$\sqrt{18\cdot x^4\cdot y^3}$

$\sqrt{2\cdot 9\cdot x^4}\cdot y^2\cdot y}$

$\sqrt{2\cdot 3^2\cdot (x^2)^2\cdot y^2\cdot y}$

Using radical rule $\sqrt[n]{a^n}=a$, we will get:

$3x^2y\sqrt{2\cdot y}$

Therefore, the simplified form of our given expression would be $3x^2y\sqrt{2\cdot y}$.

Answer 2

The answer is 3x^2y √2y.