Astudents work to simplify a radical is shown below. select the statemmebt which best applies to rhe sample mathematical work

D. The work shown above is correct, and may not be simplified further.

Step-by-step explanation:

If you add all the exponents of y in first line then we get

4+4+4+4+4+3=23

Which is same as the exponent in original problem.

So first line is good.

Since it is 4th root so each will turn into y when it moves out of the radical so final answer is correct.

Hence correct choice is "D. The work shown above is correct, and may not be simplified further." is the correct answer.

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)