Question 92492
The sq root of the product of 4 and the number is equal to that number's multiplied by the sq root of that number.
:
Sqrt(4x) = x * Sqrt(x)
:
Extract the square root of 4:
2*Sqrt(x) = x * Sqrt(x)
:
Divide both sides by Sqrt(x), leaving you with:
2 = x
:
Check in original equation:
Sqrt(4*2) = 2 * Sqrt(2)
Sqrt(8) = 2 * Sqrt(2); checks out on calc.
:
Hope this made some sense to you