6/√5-√5/5=?

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Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

by Max@Math Revolution » Thu May 23, 2019 12:22 am

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[GMAT math practice question]

$$\frac{6}{\sqrt{5}}-\frac{\sqrt{5}}{5}=?$$

A. 1
B. -1
C. √5
D. -√5
E. 2√5

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Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

by Max@Math Revolution » Sun May 26, 2019 5:32 pm

=>

$$\frac{6}{\sqrt{5}}-\frac{\sqrt{5}}{5}=\frac{6\sqrt{5}}{\sqrt{5}\sqrt{5}}-\frac{\sqrt{5}}{5}=\frac{6\sqrt{5}}{5}-\frac{\sqrt{5}}{5}=\frac{5\sqrt{5}}{5}=\sqrt{5}$$

Therefore, the answer is C.
Answer: C

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