simplify frac 10 sqrt 32 - WAEC Mathematics 2000 Question
simplify \(\frac{10}{\sqrt{32}}\)
A
\(\frac{5}{4}\sqrt{2}\)
B
\(\frac{4}{5}\sqrt{2}\)
C
\(\frac{5}{16}\sqrt{2}\)
D
\(\frac{16}{5}\sqrt{2}\)
correct option: a
\(\frac{10}{\sqrt{32}}=\frac{10}{\sqrt{16\times 2}} = \frac{10}{4\sqrt{2}}\
\frac{10\times \sqrt{2}}{4\sqrt{2}\times\sqrt{2}}=\frac{10\sqrt{2}}{4\times 2}= \frac{5}{4}\sqrt{2}\)
\frac{10\times \sqrt{2}}{4\sqrt{2}\times\sqrt{2}}=\frac{10\sqrt{2}}{4\times 2}= \frac{5}{4}\sqrt{2}\)
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