Question

Compare each pair of radical expressions. Write equivalent or not equivalent for each pair.

Answer 1

Answer:

Step-by-step explanation:

1. The first one is equivalent since

$\sqrt{48}=\sqrt{16\cdot 3}-\sqrt{16}\cdot \sqrt{3}=4\sqrt{3}.$

2. It is not equivalent

$\sqrt{75}=\sqrt{25\cdot 3}=\sqrt{25}\cdot \sqrt{3}=5\sqrt{3}\neq 7\sqrt{5}$

3. It is equivalent

$-\sqrt{360}=-\sqrt{4\cdot 90}=-\sqrt{4}\cdot \sqrt{90}=-2\sqrt{90}.$