Question

Find the value of $\sqrt{5\frac{1}{5}}$ correct upto $2$ decimal places.

• A. $2.29$
• B. $2.28$
• C. $2.30$
• D. $2.27$

Answer 1

The correct option is B $2.28$

$\sqrt{5\frac{1}{5}}$
Let's take,
$\sqrt{5\frac{1}{5}}=\sqrt{\frac{26}{5}}=x$
Taking log in the above equation,
$\frac{1}{2}\left(\log 26-\log 5\right)=logx$
$\frac{1}{2}(1.414-0.698)=logx$
$0.358=\log x$
$x={10}^0.358=2.28$
Answer (B) 2.28