Question

nd the difference: $\sqrt{20} - \sqrt{80}$
$ -2\sqrt{15} $
$ -12\sqrt{5} $
$ -2\sqrt{5} $
$ 2\sqrt{5} $

Explanation:

Step1: Simplify $\sqrt{20}$

Factor 20 into $4\times5$, so $\sqrt{20}=\sqrt{4\times5}=\sqrt{4}\times\sqrt{5}=2\sqrt{5}$.

Step2: Simplify $\sqrt{80}$

Factor 80 into $16\times5$, so $\sqrt{80}=\sqrt{16\times5}=\sqrt{16}\times\sqrt{5}=4\sqrt{5}$.

Step3: Subtract the simplified radicals

Now, $\sqrt{20}-\sqrt{80}=2\sqrt{5}-4\sqrt{5}=(2 - 4)\sqrt{5}=-2\sqrt{5}$.

Answer:

$-2\sqrt{5}$