Simplify sqrt 50 frac 10 sqrt 2 - WAEC Mathematics 2008 Question
Simplify (\sqrt{50} + \frac{10}{\sqrt{2}})
A
10
B
10\(\sqrt{2}\)
C
20
D
20\(\sqrt{2}\)
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Correct Option: B
(\sqrt{50} + \frac{10}}{\sqrt{2}} = (\frac{\sqrt{50}}{1} + \sqrt{10}{\sqrt{2}})
= (\frac{\sqrt{50 \times 2} + 10}{\sqrt{2}})
= (\frac{\sqrt{100} + 10}{\sqrt{2}})
= (\frac{10 + 10}{\sqrt{2} = \frac{20}{\sqrt{2}})
= (\frac{20}{\sqrt{2}}) \times \frac{\sqrt{2}}{\sqrt{2}})
= (\frac{20\sqrt{2}}{2})
= 10(\sqrt{2})
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