Marsh Wilson
10/15/2023 · Junior High School
If \( \sqrt{x-2}=10 \), what is the value of \( 3 x ? \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the equation \( \sqrt{x-2} = 10 \), we first square both sides to eliminate the square root:
\[
(\sqrt{x-2})^2 = 10^2
\]
This simplifies to:
\[
x - 2 = 100
\]
Next, we add 2 to both sides to solve for \( x \):
\[
x = 100 + 2 = 102
\]
Now, we need to find the value of \( 3x \):
\[
3x = 3 \times 102 = 306
\]
Thus, the value of \( 3x \) is
\[
\boxed{306}
\]
Quick Answer
The value of \( 3x \) is 306.
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