Question

Between which two numbers the value of $\sqrt{29}$ lies?

• A. Between 2 and 3
• B. Between 5 and 6
• C. Between 7 and 8
• D. Between 1 and 2

Answer 1

The correct option is B Between 5 and 6

You know, $\sqrt{25}=5$ and $\sqrt{36}=6$.
Now, $\sqrt{29}$ will lie between 5 and 6.
As 29 lie closer to 25, so let's start with numbers closer to 5
∴
$5.1\times 5.1=26.015.2\times 5.2=27.045.3\times 5.3=28.095.4\times 5.4=29.16$

So, $\sqrt{29}=5.3$
∴ $\sqrt{29}$ lies between 5 and 6.