Question

Simplify the expression

Answer 1

√18x^4y^3
= 3x^2y√(2y)

hope it helps

Answer 2

Answer:

`3 √(2) x^2 y^(3/2)`
This can be rewritten as:

`3x^2 √(2y^3)`

Step-by-step explanation:
Before we begin, remember the following:
√ab = √a * √b
√xᵃ = x^(a/2)

Now, for the given, we have:

`√(18x^4y^3)`

18 can be rewritten as 9 * 2
Therefore, the given expression would now become:

`√(9*2x^4y^3)`

Distributing the root as mentioned in the above rules, we would get:

`√(9) * √(2) * √(x^4) * √(y^3)`

We know that:

`√(9) = 3` (we would disregard the negative value of the root)

`√(x^4) = x^(4/2) = x^2`

`√(y^3) = y^(3/2)`

Substitute with the above in the expression, we would get the final answer:

`3 √(2) x^2 y^(3/2)`
This can be rewritten as:

`3x^2 √(2y^3)`

Hope this helps :)