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How do you simplify #3sqrt5-5sqrt+9sqrt5#?

Answer 1

Eli Assouline

#-12sqrt5#

#3sqrt5-5sqrt+9sqrt5#

#:.=3sqrt5-5sqrt(3*3)sqrt5#

#sqrt3*sqrt3=3#

#:.=3sqrt5-5xx3sqrt5#

#:.=3sqrt5-15sqrt5#

#:.=sqrt5(3-15)#

#:.=-12sqrt5#

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Answer 2

Hazel Anglin

To simplify the expression 3√5 - 5√5 + 9√5, we can combine the like terms. The like terms in this case are the terms with the same radical (√5).

Combining the coefficients of the like terms, we have: 3 - 5 + 9 = 7

Therefore, the simplified expression is: 7√5

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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.