Question

Which equation results from isolating a radical term and squaring both sides of the equation for the equation

Vc-2-vc=5

Answer 1

`c - 2 = 25 + 10 \sqrt c + c`

Explanation:

Given

`√(c-2) - \sqrt c = 5`

Required

Isolate radical, then square both sides

We have:

`√(c-2) - \sqrt c = 5`

Isolate radical

`√(c - 2) = 5 + \sqrt c`

Square both sides

`(√(c - 2))^2 = (5 + \sqrt c)^2`

`c - 2 = 25 + 2 * 5 * \sqrt c + c`

`c - 2 = 25 + 10 \sqrt c + c`