Question

find the difference: \\(sqrt{20} - sqrt{80}\\)\
\\(\circ\\) \\(-12sqrt{5}\\)\
\\(\circ\\) \\(-2sqrt{5}\\)\
\\(\circ\\) \\(2sqrt{5}\\)\
\\(\circ\\) \\(-2sqrt{15}\\)

Explanation:

Step1: Simplify $\sqrt{20}$

$\sqrt{20} = \sqrt{4 \times 5} = \sqrt{4} \times \sqrt{5} = 2\sqrt{5}$

Step2: Simplify $\sqrt{80}$

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

Step3: Subtract the simplified terms

$2\sqrt{5} - 4\sqrt{5} = (2-4)\sqrt{5} = -2\sqrt{5}$

Answer:

$-2\sqrt{5}$ (corresponding to the second option)