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What is -4 square root of 90 + 2 square root of 160?

Answer 1

Abigail Allen

#-4sqrt(10)#

#sqrt(90)# #color(white)("XX")=sqrt(3^2xx10) = 3sqrt(10)#

#sqrt(160)# #color(white)("XX")=sqrt(4^2xx10) = 4sqrt(10)#

Therefore #color(red)(-4sqrt(90)) + color(blue)(2sqrt(160))#

#color(white)("XX")=color(red)((-4)(3sqrt(10))) +color(blue)((2)(4sqrt(10)))#

#color(white)("XX")=color(red)(-12sqrt(10))+ color(blue)(8sqrt(10))#

#color(white)("XX")=-4sqrt(10)#

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Answer 2

Jameson Allen

-4√90 + 2√160 simplifies to -12√10 + 8√10, which further simplifies to -4√10.

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Answer 3

Ethan Adkins

The expression ( -4\sqrt{90} + 2\sqrt{160} ) simplifies to ( -12\sqrt{10} + 8\sqrt{10} ), which further simplifies to ( -4\sqrt{10} ).

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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.