Question

The square root of the quotient of a number n and 3 is equal to the square root of 4 less than the number. Which of the following is the value of n?

Answer 1

6

Step-by-step explanation: You can set up the equation:
`\sqrt{(n)/(3) }` =
`√(n-4)` You square both sides to cancel out the squares which leaves you with
`(n)/(3)` = n - 4. Then you just solve as normal which ends you up with an answer of 6. You can check this by plugging 6 back into the equation and see that you end up with
`√(2)` on both sides.