Question

find the square root of each value. match the tiles on the left with the appropriate tile on the right.\\(\sqrt{36}\\)\\(\sqrt{100}\\)\\(\sqrt{-64}\\)\\(\sqrt{49}\\)\\(\sqrt{81}\\)679not a real number10

Explanation:

Step1: Calculate $\sqrt{36}$

We know that $6\times6 = 36$, so $\sqrt{36}=6$.

Step2: Calculate $\sqrt{100}$

Since $10\times10 = 100$, then $\sqrt{100}=10$.

Step3: Analyze $\sqrt{- 64}$

The square root of a negative number is not a real number because for any real number $x$, $x^{2}\geq0$, so $\sqrt{-64}$ is not a real number.

Step4: Calculate $\sqrt{49}$

As $7\times7 = 49$, we have $\sqrt{49}=7$.

Step5: Calculate $\sqrt{81}$

Since $9\times9 = 81$, then $\sqrt{81}=9$.

Answer:

$\sqrt{36}$ matches with $6$
$\sqrt{100}$ matches with $10$
$\sqrt{-64}$ matches with "not a real number"
$\sqrt{49}$ matches with $7$
$\sqrt{81}$ matches with $9$