Test Index

SSC CHSL 14 Nov 2025 Shift 2 Paper

Question : 70 of 100

Marks: +1, -0

Simplify:

\frac{\sqrt{45}+\sqrt{20}}{\sqrt{5}}

Solution:

Concept:

Simplify square roots by factoring out perfect squares, then combine like terms and divide.

Explanation:

First, factor each square root in the numerator.

\sqrt{45} = \sqrt{9 \times 5} = 3\sqrt{5}

\sqrt{20} = \sqrt{4 \times 5} = 2\sqrt{5}

Now rewrite the expression:

\frac{3\sqrt{5} + 2\sqrt{5}}{\sqrt{5}}

Add the like terms in the numerator:

3\sqrt{5} + 2\sqrt{5} = 5\sqrt{5}

Then divide by

\sqrt{5}

\frac{5\sqrt{5}}{\sqrt{5}} = 5

Answer:

Option C:

5

Go to Question:

Prev Question

Next Question