Simplify: cube root of 28*cube root of 294?

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Simplify: cube root of 28*cube root of 294?

I think is finding the prime factorization .......please some help

2007-05-25 07:09:41 · 2 answers · asked by ohoma 1 in Science & Mathematics ➔ Mathematics

2 answers

Prime factorizations:

28 = 2*2*7
294 = 2*3*7*7

28*294 = 2*2*2*3*7*7*7
cube root (28*294) = 2*7*cube root(3) = 14*cube root(3)

2007-05-25 07:22:03 · answer #1 · answered by jcsuperstar714 4 · 3⤊ 0⤋

(7 x 2Â²)^(1/3) x (14 x 21)^(1/3)
(7 x 2Â²)^(1/3) x (7 x 2 x 7 x 3)^(1/3)
(7 x 2Â²)^(1/3) x (7Â² x 2 x 3)^(1/3)
7^(1/3) x 2^(2/3) x 7^(2/3) x 2^(1/3) x 3^(1/3)
2 x 3^(1/3) x 7
14.3^(1/3)

2007-05-26 05:49:09 · answer #2 · answered by Como 7 · 0⤊ 0⤋