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

Answer 1

#-4sqrt(10)#

#-4sqrt(90)+ 2sqrt(160) = ?#

Assuming this to be the question(unfortunately, the lack of math symbols makes it ambiguous), the answer shall be:

#= -4(3)sqrt(10) + 2(4)sqrt(10)# ^What I've done here is #sqrt(ab) = sqrt(a)sqrt(b)# (9 times 10 and 16 times 10 respectively)

# = -12sqrt(10)+ 8sqrt(10)# # = -4sqrt(10) #

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Answer 2

Ethan Adkins

# -4 \sqrt{90} + 2 \sqrt{160}# #= -12 sqrt{10} + 8 sqrt{10} # #= -4 sqrt{10}#

# -4 \sqrt{90} + 2 \sqrt{160}#

# -4 \sqrt{3^2 cdot 10 } + 2 \sqrt{4^2 cdot 10}#

#= -12 sqrt{10} + 8 sqrt{10} #

#= -4 sqrt{10}#

Why does it say just asked when it's two years old?

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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.