Question

X/w=z/y^2 solve for y

Answer 1

`\Large \boxed{\displaystyle y=\sqrt{(z \cdot w)/(x)}}`

Explanation:

`\displaystyle (x)/(w) =(z)/(y^2 )`

Cross multiplication.

`x \cdot y^2 =z \cdot w`

Dividing both sides by
`x`.

`\displaystyle (x \cdot y^2 )/(x) =(z \cdot w)/(x)`

`\displaystyle y^2 =(z \cdot w)/(x)`

Taking the square root of both sides.

`\displaystyle √(y^2 ) =\sqrt{(z \cdot w)/(x)}`

`\displaystyle y=\sqrt{(z \cdot w)/(x)}`