Question
Solve the equation
y1=−34594,y2=34594
Alternative Form
y1≈−1.645604,y2≈1.645604
Evaluate
3y4=22
Divide both sides
33y4=322
Divide the numbers
y4=322
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±4322
Simplify the expression
More Steps

Evaluate
4322
To take a root of a fraction,take the root of the numerator and denominator separately
43422
Multiply by the Conjugate
43×433422×433
Simplify
43×433422×427
Multiply the numbers
More Steps

Evaluate
422×427
The product of roots with the same index is equal to the root of the product
422×27
Calculate the product
4594
43×4334594
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
34594
y=±34594
Separate the equation into 2 possible cases
y=34594y=−34594
Solution
y1=−34594,y2=34594
Alternative Form
y1≈−1.645604,y2≈1.645604
Show Solution
