Which choice is equivalent to the expression below?

\(\sqrt{20} + \sqrt{80}\)

A. 25

B. \(\sqrt{5}\)

C. \(6\sqrt{5}\)

D. \(-5\sqrt{\sqrt{5}}\)

Answer :

Final answer:

To simplify the given expression, √20 + √80, find the square roots of 20 and 80 separately and add them together. The equivalent expression is 6√5.


Explanation:

To simplify the expression √20 + √80, we need to find the square roots of 20 and 80 separately and then add them together.

√20 = √(4 × 5) = 2√5

√80 = √(16 × 5) = 4√5

Now, adding these two results together, we have:

2√5 + 4√5 = 6√5

Therefore, the choice that is equivalent to the given expression is OC. 6√5.


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