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How do you multiply #(4sqrt18)(2sqrt14)#?

Answer 1

#48sqrt(7)#

You can multiply the numbers outside the roots and them try to manipulate the arguments of the square roots: #4*2sqrt(18)sqrt(14)=# #=8sqrt(9*2)sqrt(7*2)=# #=8*3sqrt(2)sqrt(7*2)=# take one big root:

#=24sqrt(2*7*2)=# #=24sqrt(7*4)=48sqrt(7)#

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Answer 2

Kennedy Adams

To multiply (4√18)(2√14), you can follow these steps:

Multiply the coefficients: 4 * 2 = 8.
Multiply the numbers inside the square roots: √18 * √14 = √(18 * 14) = √252.
Simplify the square root: √252 = √(36 * 7) = √36 * √7 = 6√7.

Therefore, (4√18)(2√14) simplifies to 8 * 6√7, which is equal to 48√7.

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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.