Express 192^ (1/4) in simplest radical form

Question

Mathematics

Brodie Hancock

5 October, 05:09

Express 192^ (1/4) in simplest radical form

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Answers (1)

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Zoie Beasley · Answer 1

2*12^ (1/4)

Step-by-step explanation:

Step 1: Express 192 as a multiple of primes:

192=2*2*2*2*2*2*3 = 2^4 * 2^2 * 3

Step 2: We can take the fourth root of 2^4 and get 2 but we cannot take the fourth root of 2^2 or 3.

Step 3: Now we have 2 * fourth root of 2^2 * 3 = 2 * 12^ (1/4)