Question

Which letter on the number line corresponds to each square root?

Answer 1

To solve this problem, the first step is to recall the squares of numbers 1 to 10.

The square root of 56:

$\begin{gathered} 7^2=49\text{ and 8}^2=64 \\ \sqrt{56}\text{ must be in between 7 and 8.} \\ T\text{he letter E is the letter which corresponds to the }\sqrt{56} \end{gathered}$

The square root of 10:

$\begin{gathered} 3^2=9\text{ and 4}^2=16 \\ \sqrt{10}\text{ must be in between 3 and 4.} \\ T\text{he letter C is the letter which corresponds to the }\sqrt{10} \end{gathered}$

The square root of 39:

$\begin{gathered} 6^2=36\text{ and 7}^2=49 \\ \sqrt{39}\text{ must be in between 6 and 7.} \\ T\text{he letter A is the letter which corresponds to the }\sqrt{39} \end{gathered}$

The square root of 7:

$\begin{gathered} 2^2=4\text{ and 3}^2=9 \\ \sqrt{7}\text{ must be in between 2 and 3.} \\ T\text{he letter D is the letter which corresponds to the }\sqrt{7} \end{gathered}$

The square root of 32:

$\begin{gathered} 5^2=25\text{ and 6}^2=36 \\ \sqrt{32}\text{ must be in between 5 and 6.} \\ T\text{he letter F is the letter which corresponds to the }\sqrt{32} \end{gathered}$

The square root of 98:

$\begin{gathered} 9^2=81\text{ and 10}^2=100 \\ \sqrt{98}\text{ must be in between 9 and 10.} \\ T\text{he letter B is the letter which corresponds to the }\sqrt{98} \end{gathered}$