Question

Which expression is equivalent to sqrt80

Answer 1

Answer:

$4\sqrt{5}$

Explanation:

Before we begin, remember that:

$\sqrt{xy}=\sqrt{x} * \sqrt{y}$

Now, for the given problem

80 can be written as 16×5

Therefore:

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

Applying the above rule:

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

We know that $\sqrt{16}=4$ while $\sqrt{5}$ is irrational, so we'll replace $\sqrt{16}$ with 4 and leave $\sqrt{5}$ as it is

This means that:

$\sqrt{80}=\sqrt{16} * \sqrt{5} = 4\sqrt{5}$

Hope this helps :)

Answer 2

Answer:

4$\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

$\sqrt{80}$

= $\sqrt{16(5)}$

= $\sqrt{16}$ × $\sqrt{5}$

= 4$\sqrt{5}$ ← in simplest form