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 \\ √(56)\text{ must be in between 7 and 8.} \\ T\text{he letter E is the letter which corresponds to the }√(56) \end{gathered}`

The square root of 10:

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

The square root of 39:

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

The square root of 7:

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

The square root of 32:

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

The square root of 98:

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