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How do you simplify #sqrt5 - 3sqrt5#?

Answer 1

Ethan Adkins

#-2sqrt5#

Notice there are two terms, each has #sqrt5# which can be divided out as a common factor.

#sqrt5 - 3sqrt5 = sqrt5(1 - 3)#

This gives #sqrt 5xx -2# which can be written as #-2sqrt5#

Alternatively, by thinking of the two terms as similar terms, we have

#1sqrt5 - 3sqrt5 = -2sqrt5#

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Answer 2

Eli Assouline

To simplify sqrt5 - 3sqrt5, we can combine the like terms. The square root of 5 minus 3 times the square root of 5 is equal to -2 times the square root of 5. Therefore, the simplified form of sqrt5 - 3sqrt5 is -2sqrt5.

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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.