Solve the equation. $$ x^{1 / 2}-10=0 $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
x^{1/2} - 10 = 0
$$

**Step 1: Isolate the square root term**

$$
x^{1/2} = 10
$$

**Step 2: Remove the square root by squaring both sides**

$$
\left(x^{1/2}\right)^2 = 10^2
$$

$$
x = 100
$$

**Solution:** $$ x = 100 $$

**Verification:**

Plug $$ x = 100 $$ back into the original equation to ensure it's correct.

$$
100^{1/2} - 10 = 10 - 10 = 0
$$

Since the left side equals the right side, $$ x = 100 $$ is indeed the correct solution.
$$ x = 100 $$

Solve the equation.