91影视

Aniket multiplied as follows and he got the wrong answer. What is wrong with his reasoning?

$$\begin{gathered} \sqrt{-7}路\sqrt{-7} \\ \sqrt{49} \\ 7 \end{gathered}$$

Why is$\sqrt{-64}=8i$but$\sqrt[3]{-64}=-4$

In the following exercises, simplify using absolute values as necessary

Explain how dividing complex numbers is similar to rationalizing a denominator.

In the following exercises, simplify.

$$\begin{gathered} \left(a\right)\sqrt{225} \\ \left(b\right)-\sqrt{16} \end{gathered}$$

In the following exercises, simplify.

$$\begin{gathered} \left(a\right)-\sqrt{169} \\ \left(b\right)\sqrt{-8} \end{gathered}$$

In the following exercises, simplify.

$$\begin{gathered} \left(a\right)\sqrt[3]{8} \\ \left(b\right)\sqrt[4]{81} \\ \left(c\right)\sqrt[5]{243} \end{gathered}$$

In the following exercises, simplify.

$$\begin{gathered} \left(a\right)\sqrt[3]{-512} \\ \left(b\right)\sqrt[4]{-81} \\ \left(c\right)\sqrt[5]{-1} \end{gathered}$$

In the following exercises, estimate each root between two consecutive whole numbers.

$$\begin{gathered} \left(a\right)\sqrt{68} \\ \left(b\right)\sqrt[3]{84} \end{gathered}$$

In the following exercises, approximate each root and round to two decimal places.

$$\begin{gathered} \left(a\right)\sqrt{37} \\ \left(b\right)\sqrt[3]{84} \\ \left(c\right)\sqrt[4]{125} \end{gathered}$$