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How do you simplify #4sqrt3(8sqrt3)#?

Answer 1

Ethan Adkins

#96#

#(4sqrt(3))(8sqrt3)#

#32(sqrt3)^2#

#(sqrt(3))^2=sqrt(9)=3# - The square root cancels out the square.

#32(3)#

#96#

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Answer 2

Eva Adamson

To simplify 4√3(8√3), you can multiply the numbers outside the square roots and the numbers inside the square roots separately.

4 multiplied by 8 is 32, and √3 multiplied by √3 is 3.

Therefore, 4√3(8√3) simplifies to 32√9.

Since √9 is equal to 3, the final simplified form is 32(3), which equals 96.

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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.