solve sqrt(x) = y for x — step-by-step solution

Let's solve in

ℝ

\sqrt{x} = y

Isolate the square root:

\sqrt{x} = y

. Since the square root is nonnegative, square both sides, provided that

y \geq 0

Candidates, pending the domain check:

x = y^{2}

Solving for y:

y \geq 0

Candidates, pending the domain check:

y \geq 0

For the expression

\sqrt{x}

to be defined, we must have:

x \geq 0

Domain constraints:

x \geq 0

▶Solution:

{x = y^{2}, y \geq 0}