Question
Solve the equation
y=23140
Alternative Form
y≈2.596247
Evaluate
35=2y×y2
Multiply
More Steps

Evaluate
2y×y2
Multiply the terms with the same base by adding their exponents
2y1+2
Add the numbers
2y3
35=2y3
Swap the sides of the equation
2y3=35
Divide both sides
22y3=235
Divide the numbers
y3=235
Take the 3-th root on both sides of the equation
3y3=3235
Calculate
y=3235
Solution
More Steps

Evaluate
3235
To take a root of a fraction,take the root of the numerator and denominator separately
32335
Multiply by the Conjugate
32×322335×322
Simplify
32×322335×34
Multiply the numbers
More Steps

Evaluate
335×34
The product of roots with the same index is equal to the root of the product
335×4
Calculate the product
3140
32×3223140
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
23140
y=23140
Alternative Form
y≈2.596247
Show Solution
