Question

On the number line $\sqrt{17}$ lies between

• A. 16 and 18
• B. 2 and 3
• C. 4 and 5
• D. 5 and 6

Answer 1

The correct option is C

4 and 5

We know that $\sqrt{16}=4$ and $\sqrt{25}=5$

Also, $\sqrt{17}$ is more than $\sqrt{16}$ and less than $\sqrt{25}$

$i.e.,\sqrt{16}<\sqrt{17}<\sqrt{25}$

$\Rightarrow 4<\sqrt{17}<5$

$\Rightarrow \sqrt{17}$ lies between 4 and 5 on the number line.