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How do you simplify 6√2 divided by √3?

Answer 1

Ethan Adkins

#(6sqrt(2))/sqrt(3) = 2sqrt(6)#

Start by rationalizing the denominator. That can be done by multiplying the fraction by #1 = sqrt(3)/sqrt(3)#.

#(6sqrt(2))/sqrt(3) * sqrt(3)/sqrt(3) = (6 * sqrt(2) * sqrt(3))/(sqrt(3) * sqrt(3))#

#= (6 * sqrt(2 * 3))/sqrt(3 * 3)#

#= (color(red)(cancel(color(black)(6)))2sqrt(6))/color(red)(cancel(color(black)(3))) = color(green)(2sqrt(6))#

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Answer 2

Avery Alexander

To simplify 6√2 divided by √3, you can rationalize the denominator by multiplying both the numerator and denominator by √3. This gives you (6√2 * √3) / (√3 * √3). Simplifying further, you get (6√6) / 3, which can be simplified to 2√6.

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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.