Question
Solve the equation
n1=−3427,n2=3427
Alternative Form
n1≈−0.759836,n2≈0.759836
Evaluate
18=69n4
Simplify
More Steps

Evaluate
69n4
When the expression in absolute value bars is not negative, remove the bars
6×9n4
Multiply the numbers
54n4
18=54n4
Swap the sides of the equation
54n4=18
Divide both sides
5454n4=5418
Divide the numbers
n4=5418
Cancel out the common factor 18
n4=31
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±431
Simplify the expression
More Steps

Evaluate
431
To take a root of a fraction,take the root of the numerator and denominator separately
4341
Simplify the radical expression
431
Multiply by the Conjugate
43×433433
Simplify
43×433427
Multiply the numbers
More Steps

Evaluate
43×433
The product of roots with the same index is equal to the root of the product
43×33
Calculate the product
434
Reduce the index of the radical and exponent with 4
3
3427
n=±3427
Separate the equation into 2 possible cases
n=3427n=−3427
Solution
n1=−3427,n2=3427
Alternative Form
n1≈−0.759836,n2≈0.759836
Show Solution
