Simplify: {75}-{18}-{3}+{2}.

Correct Answer is : 43−224 {3}-2 {2}43−22

Correct Answer is : 43−224 {3}-2 {2}43−22

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BECE Mathematics 2026 Paper

Question : 9

Total: 40

Simplify:

\sqrt{75}-\sqrt{18}-\sqrt{3}+\sqrt{2}

Solution:

Concept:

Simplify each square root by factoring out perfect squares, then combine like surds.

Explanation:

\sqrt{75} = \sqrt{25 \times 3} = 5\sqrt{3}

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

Substitute into the expression:

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

Combine like terms:

(5\sqrt{3} - \sqrt{3}) + (-3\sqrt{2} + \sqrt{2}) = 4\sqrt{3} - 2\sqrt{2}

Answer:

4\sqrt{3} - 2\sqrt{2}

, which is option A.

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