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SSC CPO Tier 1 Exam 10 Dec 2025 Shift 1

Section: Quantitative Aptitude

Question : 145 of 200

Marks: +1, -0

Simplify

\sqrt{50}+\sqrt{18}-\sqrt{8}

Solution:

Concept:

Simplify each square root by factoring out perfect squares.

Explanation:

Rewrite each term by breaking the number inside the root into a product of a perfect square and another integer.

\sqrt{50} = \sqrt{25 \times 2} = 5\sqrt{2}

\sqrt{18} = \sqrt{9 \times 2} = 3\sqrt{2}

\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}

Now combine the like terms:

5\sqrt{2} + 3\sqrt{2} - 2\sqrt{2} = (5+3-2)\sqrt{2} = 6\sqrt{2}

Answer:

6\sqrt{2}

, option B.

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