Question

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality ____ < √134 < ____

Answer 1

$11 < \sqrt{134} < 12\\\\because\\\\11^2=121 < (\sqrt{134})^2=134 < 12^2=144$

Answer 2

Answer:

$11$.

Step-by-step explanation:

We have been given an inequality $___$. We are asked to find two consecutive integers to complete the following inequality.

We know that 121 is square of 11 and 144 is square of 12.

We also know that 11 and 12 are two consecutive integers. Since 11 is less than $\sqrt{134}$ and 12 is greater than $\sqrt{134}$, so upon substituting 11 and 12 in our given inequality we will get,

$11$.