Question

Between what two integers on a number line would \sqrt{29}29 be plotted?

Answer 1

Given: the irrational number $\sqrt{29}$

To find:

• Between which two integers on a number line, would $\sqrt{29}$ be plotted.

Solution:

• The value of $\sqrt{29}$ is $5.38$ (approximately).

• Here the integral part is $5$ which is followed by digits (attleast one of them is non-zero) after decimal point. So $5$ is the lower bound and $(5+1)=6$ is the upper bound.

• Thus $5.38$ lies between the integers $5$ and $6$.

Answer: $5<\sqrt{29}<6$