find the difference: $sqrt{20}-sqrt{80}$\n- $- 12sqrt{5}$\n- $-2sqrt{5}$\n- $2sqrt{5}$\n- $-2sqrt{15}$
find the difference: $sqrt{20}-sqrt{80}$\n- $- 12sqrt{5}$\n- $-2sqrt{5}$\n- $2sqrt{5}$\n- $-2sqrt{15}$
Answer
Explanation:
Step1: Simplify square - roots
Simplify $\sqrt{20}$ and $\sqrt{80}$. $\sqrt{20}=\sqrt{4\times5}=\sqrt{4}\times\sqrt{5}=2\sqrt{5}$ $\sqrt{80}=\sqrt{16\times5}=\sqrt{16}\times\sqrt{5}=4\sqrt{5}$
Step2: Calculate the difference
Substitute the simplified square - roots into the original expression. $\sqrt{20}-\sqrt{80}=2\sqrt{5}-4\sqrt{5}=(2 - 4)\sqrt{5}=-2\sqrt{5}$
Answer:
-2\sqrt{5} (corresponding to the second option)