Question

The simplest form of StartRoot 80 EndRoot can be written as

Answer 1

Answer:   $\bold{4\sqrt5}$

Step-by-step explanation:

$\sqrt{80}\\\\\\=\sqrt{2\cdot 2\cdot 2\cdot 2\cdot 5}\\\\\\=\sqrt{\underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot 5} \\\\\\=2\cdot 2\sqrt5\\\\\\=\large\boxed{4\sqrt5}$

Answer 2

Answer:

$4\sqrt{5}$

Step-by-step explanation:

We are asked to write $\sqrt{80}$ in the simplest form.

We can write 80 as product of 16 and 5.  

$\sqrt{80}=\sqrt{16\cdot 5}$

Using radical rule $\sqrt{m\cdot n}=\sqrt{m}\cdot \sqrt{n}$, we will get:

$\sqrt{16\cdot 5}=\sqrt{16}\cdot \sqrt{5}$

$\sqrt{16\cdot 5}=\sqrt{4^2}\cdot \sqrt{5}$

$\sqrt{16\cdot 5}=4\sqrt{5}$

Therefore, the simplest form of the given expression would be $4\sqrt{5}$.