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 followin

Question

Liula [17]

2 years ago

15

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 followin

g is the value of n?

Mathematics

1 answer:

Lisa [10] · Answer 1 · 2022-06-25T20:01:45+03:00

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.