Simplify √75 + √48 − √27
A6√3CORRECT
B8√3
C4√3
D10√3
GCEFurther MathematicsSurds, Indices and Logarithms2023
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Why the answer is A, and why the others tempt you.
√75 = 5√3, √48 = 4√3, √27 = 3√3. So 5√3 + 4√3 − 3√3 = 6√3. Each surd is simplified by extracting perfect square factors before combining like terms.
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