Question $\sqrt{89}$ is between which two whole numbers?

Studdy Solution

STEP 1

Assumptions1. We are looking for two consecutive whole numbers between which $\sqrt{89}$ lies.

STEP 2

We know that $\sqrt{81} =9$ and $\sqrt{100} =10$ . Since89 is between81 and100, $\sqrt{89}$ must be between9 and10.

STEP 3

To confirm this, we can compare $\sqrt{89}$ with9 and10.First, we'll square9 and10 to get81 and100 respectively.
$9^2 =81$ $10^2 =100$

STEP 4

Since89 is greater than81 and less than100, $\sqrt{89}$ is greater than9 and less than10.
$9 < \sqrt{89} <10$ $\sqrt{89}$ is between9 and10.

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