Question

Please help me with this math question

Answer 1

After dividing
`(√(9x^2))/(√(18y^2))` we get
`(√(2)x)/(2y)`

Hence, Option D is correct

Explanation:

Divide
`(√(9x^2))/(√(18y^2))`

We know that:

`\sqrt{9x^2` = 3x

`√(18y^2)` =
`√(2*3*3 y^2)` =
`3√(2)y`

`(3x)/(3√(2)y) \\Solving:\\(x)/(√(2)y)`

Now rationalize denominator

`=(x)/(√(2)y)\\=(x)/(√(2)y) * (√(2))/(√(2)) \\=(√(2)x)/(√(2)*√(2)y)\\=(√(2)x)/(2y)`

After dividing
`(√(9x^2))/(√(18y^2))` we get
`(√(2)x)/(2y)`

Hence, Option D is correct