Question
Solve the equation
n1=−34756,n2=34756
Alternative Form
n1≈−1.74787,n2≈1.74787
Evaluate
3n4=28
Divide both sides
33n4=328
Divide the numbers
n4=328
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±4328
Simplify the expression
More Steps

Evaluate
4328
To take a root of a fraction,take the root of the numerator and denominator separately
43428
Multiply by the Conjugate
43×433428×433
Simplify
43×433428×427
Multiply the numbers
More Steps

Evaluate
428×427
The product of roots with the same index is equal to the root of the product
428×27
Calculate the product
4756
43×4334756
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
34756
n=±34756
Separate the equation into 2 possible cases
n=34756n=−34756
Solution
n1=−34756,n2=34756
Alternative Form
n1≈−1.74787,n2≈1.74787
Show Solution
