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SSC CPO Tier 1 Exam 10 Dec 2025 Shift 2

Section: Quantitative Aptitude

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Question : 134 of 200

Marks: +1, -0

Simplify :

\sqrt{12}+\sqrt{48}

√3
1.21
6
6√3

Solution:

Concept:

Simplify each square root by factoring out perfect squares, then add like terms.

Explanation:

Write

\sqrt{12}

as

\sqrt{4 \times 3}

. Since

\sqrt{4}=2

, we get

2\sqrt{3}

.

Write

\sqrt{48}

as

\sqrt{16 \times 3}

. Since

\sqrt{16}=4

, we get

4\sqrt{3}

.

Now add the two terms:

2\sqrt{3} + 4\sqrt{3} = (2+4)\sqrt{3} = 6\sqrt{3}

.

Answer:

6\sqrt{3}

(Option D)

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