Question

Simplify the expression: √18x^4y^3

Answer 1

The answer is 3x^2y √2y.

Answer 2

`3x^2y√(2\cdot y)`

Explanation:

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

`√(18x^4y^3)`

We can rewrite terms of our given function as:

`√(18\cdot x^4\cdot y^3)`

`√(2\cdot 9\cdot x^4)\cdot y^2\cdot y}`

`√(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√(2\cdot y)`

Therefore, the simplified form of our given expression would be
`3x^2y√(2\cdot y)`.