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