Victoria is finding the value of n for the equation 1416−−−√3=141n
Victoria writes 1416−−−√3=(1416)3=1436=1412
so n=2
Is Victoria correct? Justify your answer.
No, Victoria is not correct.
To solve the equation correctly, we need to isolate the variable 'n' on one side of the equation.
Starting with the given equation:
1416−−−√3=141n
First, let's simplify the equation by taking the square root of both sides:
√(1416−3) = √(141n)
This simplifies to:
√1413 = 141n
Now, divide both sides of the equation by 141 to isolate 'n':
√1413/141 = n
Since we cannot simplify the square root of 1413 any further, the value of 'n' cannot be calculated precisely. So, we cannot determine the exact value of 'n' based on the given equation.