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How do you simplify #sqrt80 - sqrt5#?

Answer 1

Eva Abramson

#=3sqrt5#

#sqrt80-sqrt5# #=sqrt((16)(5))-sqrt5# #=4sqrt5-sqrt5# #=3sqrt5#

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Answer 2

Julia Adams

To simplify sqrt80 - sqrt5, we can break down the square roots into their prime factors and then combine like terms.

sqrt80 can be simplified as sqrt(16 * 5), which further simplifies to 4sqrt5.

Therefore, the simplified expression becomes 4sqrt5 - sqrt5.

Combining like terms, we get (4 - 1)sqrt5, which simplifies to 3sqrt5.

So, sqrt80 - sqrt5 simplifies to 3sqrt5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.