If x 64 and y 27 evaluate frac x frac 1 2 - y f... - WAEC Mathematics 2013 Question
If x = 64 and y = 27, evaluate: (\frac{x^{\frac{1}{2}} - y^{\frac{1}{3}}}{y - x^{\frac{2}{3}}})
A
2\(\frac{1}{5}\)
B
1
C
\(\frac{5}{11}\)
D
\(\frac{11}{43}\)
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Correct Option: C
(\frac{x^{\frac{1}{2}} - y^{\frac{1}{3}}}{y - x^{\frac{2}{3}}})
substitute x = 64 and y = 27
(\frac{64^{\frac{1}{2}} - 27^{\frac{1}{3}}}{27 - 64^{\frac{2}{3}}} = \frac{\sqrt{64} - 3\sqrt{27}}{27 - (3\sqrt{64})^2})
= (\frac{8 - 3}{27 - 16})
= (\frac{5}{11})
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