solve the equation sqrt(x)=5 — step-by-step solution

We solve in

ℝ

\sqrt{x} = 5

We isolate the square root:

\sqrt{x} = 5

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

x = 5^{2}

ⓘ A power with a positive integer exponent is a repeated product:

5^{2}

5 \cdot 5

25

Candidates, pending the domain check:

x = 25

For the expression

\sqrt{x}

to be defined, the following condition is necessary:

x \geq 0

Domain constraints:

x \geq 0

▶Solution:

x = 25