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

Answer: (C)

7.2

Answer 2

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