Rationalize the denominator of $\frac{5}{3 - \sqrt{2}}$ and simplify.
A$\frac{15 + 5\sqrt{2}}{7}$CORRECT
B$\frac{15 - 5\sqrt{2}}{7}$
C$\frac{15 + 5\sqrt{2}}{11}$
D$\frac{5(3 + \sqrt{2})}{11}$
GCEFurther MathematicsSurds, Indices and Logarithms2019
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Multiply numerator and denominator by the conjugate (3 + √2): numerator becomes 5(3 + √2) = 15 + 5√2, denominator becomes 3² − (√2)² = 9 − 2 = 7. The result is (15 + 5√2)/7.
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