Question
Solve the equation
a1=−13410985,a2=13410985
Alternative Form
a1≈−0.787511,a2≈0.787511
Evaluate
13a4=5
Divide both sides
1313a4=135
Divide the numbers
a4=135
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±4135
Simplify the expression
More Steps

Evaluate
4135
To take a root of a fraction,take the root of the numerator and denominator separately
41345
Multiply by the Conjugate
413×413345×4133
Simplify
413×413345×42197
Multiply the numbers
More Steps

Evaluate
45×42197
The product of roots with the same index is equal to the root of the product
45×2197
Calculate the product
410985
413×4133410985
Multiply the numbers
More Steps

Evaluate
413×4133
The product of roots with the same index is equal to the root of the product
413×133
Calculate the product
4134
Reduce the index of the radical and exponent with 4
13
13410985
a=±13410985
Separate the equation into 2 possible cases
a=13410985a=−13410985
Solution
a1=−13410985,a2=13410985
Alternative Form
a1≈−0.787511,a2≈0.787511
Show Solution
