Question
Solve the equation
n=25176
Alternative Form
n≈1.406282
Evaluate
6×2n5=66
Multiply the numbers
12n5=66
Divide both sides
1212n5=1266
Divide the numbers
n5=1266
Cancel out the common factor 6
n5=211
Take the 5-th root on both sides of the equation
5n5=5211
Calculate
n=5211
Solution
More Steps

Evaluate
5211
To take a root of a fraction,take the root of the numerator and denominator separately
52511
Multiply by the Conjugate
52×524511×524
Simplify
52×524511×516
Multiply the numbers
More Steps

Evaluate
511×516
The product of roots with the same index is equal to the root of the product
511×16
Calculate the product
5176
52×5245176
Multiply the numbers
More Steps

Evaluate
52×524
The product of roots with the same index is equal to the root of the product
52×24
Calculate the product
525
Reduce the index of the radical and exponent with 5
2
25176
n=25176
Alternative Form
n≈1.406282
Show Solution
