Question

Which of the following is equal to square root 18x^7y^6?

Answer 1

To find the square root of
`18x^7y^6` i.e,
`√(18x^7y^6)`

Using radical rules:

`\sqrt[n]{a^n} = a`

`(a^m)^{(1)/(n)} = a^{(m)/(n)}`

we can write:

`18 = 3 \cdot 3 \cdot 2 = 3^2 \cdot 2`

`x^7 = x^6 \cdot x`

then;

`√(18x^7y^6)` =
`√(3^2 \cdot 2 \cdot x^6 \cdot x \cdot y^6)`

Apply the rules we have;

`3 \cdot x^3 \cdot y^3 \cdot √(2x)`

or

`3x^3y^3√(2x)`

therefore,
`3x^3y^3√(2x)` is equal to
`√(18x^7y^6)`

Answer 2

square root 18x^7y^6
=(18x^7y^6)^1/2
(9*2*x^6*X*y^6)^1/2
= 3 x3y3 • sqrt(2x)
hope this helps