Question
If \(\sqrt{5}\) = 2.236, then the value of \(\frac{\sqrt{5}}{2} - \frac{10}{\sqrt{5}}+\sqrt{125}\) is equal to :
Answer: Option B
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\(\frac{\sqrt{5}}{2} - \frac{10}{\sqrt{5}}+\sqrt{125} = \frac{(\sqrt{5})^{2}-20+2\sqrt{5}\times5\sqrt{5}}{2\sqrt{5}}\)
= \(\frac{5-20+50}{2\sqrt{5}}\)
= \(\frac{35}{2\sqrt{5}}\times\frac{\sqrt{5}}{\sqrt{5}}\)
= \(\frac{35\sqrt{5}}{10}\)
= \(\frac{7\times2.236}{2}\)
= 7 x 1.118
= 7.826
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