Robert A.
asked • 04/22/18Rationalize the denominator and simplify following expression
3√¼ please sow me steps and answer
in
radical form. I keep getting 3√3/2
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1 Expert Answer
√(1/4) = √1/√4 = 1/2
3(1/2) = (3/1)(1/2) = 3/2
David W.
tutor
Now that you clarified...
(1/41/3)(42/3/42/3) = 3√16/4
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04/22/18
Robert A.
David,
This is what I meant. its a 3 radical sing with 1/4 inside..... Do you mean cube root of 1/4, 3√(1/4)?
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04/22/18
David W.
tutor
(1/41/3)(42/3/42/3) = 42/3/4 = (42)(41/3)/4 = 43√4
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04/23/18
David W.
tutor
It should be the 2nd comment. Taking the cubed, or third root of something is the same thing as raising it to the 1/3, just like taking the square, or second root of something is the same thing as raising it to the 1/2.
√16 = 161/2 = 4
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04/23/18
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Philip P.
04/22/18