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

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)

4/6 = 2/3

so it should take 3/3 hours per man. so 9 hours is the answer 3*3 =9

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)