Question

\((\sqrt{5}+\frac{1}{\sqrt{5}})^2\) is equal to

• A. 3.0
• B. 3.1
• C. 7.2
• D. 3.3

Answer 1

The Correct Option is C

To solve \((\sqrt{5} + \frac{1}{\sqrt{5}})^2\), we use this formula: \((a + b)^2 = a^2 + 2ab + b^2\).

So,

\((\sqrt{5} + \frac{1}{\sqrt{5}})^2 = a^2 + 2ab + b^2 = 5 + 2 + \frac{1}{5} = 7 + \frac{1}{5}\)

\(7 + \frac{1}{5} = \frac{35}{5} + \frac{1}{5} = \frac{36}{5}\)=\(7.2\)

The correct option is (C): 7.2