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

Answer:

6

Step-by-step explanation: You can set up the equation: $\sqrt{\frac{n}{3} }$ = $\sqrt{n-4}$ You square both sides to cancel out the squares which leaves you with $\frac{n}{3}$ = 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 $\sqrt{2}$ on both sides.