Hey, everyone. I need some help with dividing radicals. Here are a couple questions that I can't get the right answer to. If you can, please tell me how it's done.
1)
2)
1)
One way is go ahead and multiply those in the numeratior,
= [6sqrt(6*24)] / [-sqrt(18)]
Then see if you can factor the new numerator so that you can cancel the denominator,
= [6sqrt(6*3*8)] / [-sqrt(18)]
= [6sqrt(8)] / [-1]
= -6sqrt(4*2)
= -6*[2sqrt(2)]
= -12sqrt(2) -------answer.
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2)
In cases like this, rationalize the denominator, or multiple the numerator and the denominator by the conjugate of the denominator.
The conjugate of the denominator here is [1 -sqrt(a)], so,
= [sqrt(a) *(1 -sqrt(a))] / [(1 +sqrt(a))*(1 -sqrt(a))]
= [sqrt(a) -a] / [1 -a] -------------answer.