solve sqrt(x)=3 — step-by-step solution

Let's solve in

ℝ

\sqrt{x} = 3

Isolate the square root:

\sqrt{x} = 3

. Since the right side is nonnegative, square both sides:

x = 3^{2}

ⓘ An integer power is a repeated product:

3^{2}

3 \cdot 3

9

Candidates, pending the domain check:

x = 9

For the expression

\sqrt{x}

to exist, you must check:

x \geq 0

Domain constraints:

x \geq 0

▶Solution:

x = 9