Question
Solve the equation
a1=−32427,a2=32427
Alternative Form
a1≈−1.519671,a2≈1.519671
Evaluate
3a4=16
Divide both sides
33a4=316
Divide the numbers
a4=316
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±4316
Simplify the expression
More Steps

Evaluate
4316
To take a root of a fraction,take the root of the numerator and denominator separately
43416
Simplify the radical expression
More Steps

Evaluate
416
Write the number in exponential form with the base of 2
424
Reduce the index of the radical and exponent with 4
2
432
Multiply by the Conjugate
43×4332433
Simplify
43×4332427
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
32427
a=±32427
Separate the equation into 2 possible cases
a=32427a=−32427
Solution
a1=−32427,a2=32427
Alternative Form
a1≈−1.519671,a2≈1.519671
Show Solution
