Question:
If \( \sqrt{x} + 14 = \sqrt{2601} \), then \( x \) is equal to:
If \( \sqrt{x} + 14 = \sqrt{2601} \), then \( x \) is equal to:
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When solving equations with square roots, isolate the square root term first, then square both sides to eliminate the root.
Updated On: Feb 13, 2026
- 1359
- 1379
- 1369
- 1309
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The Correct Option is C
Solution and Explanation
Step 1: Simplify the right-hand side.
We are given:
\[
\sqrt{x} + 14 = \sqrt{2601}
\]
Now, simplify \( \sqrt{2601} \):
\[
\sqrt{2601} = 51
\]
Step 2: Solve for \( \sqrt{x} \).
\[
\sqrt{x} + 14 = 51 \quad \Rightarrow \quad \sqrt{x} = 51 - 14 = 37
\]
Step 3: Square both sides to find \( x \).
\[
x = 37^2 = 1369
\]
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