Question
Solve the equation
y=5375
Alternative Form
y≈0.843433
Evaluate
40y3×5=120
Multiply the terms
200y3=120
Divide both sides
200200y3=200120
Divide the numbers
y3=200120
Cancel out the common factor 40
y3=53
Take the 3-th root on both sides of the equation
3y3=353
Calculate
y=353
Solution
More Steps

Evaluate
353
To take a root of a fraction,take the root of the numerator and denominator separately
3533
Multiply by the Conjugate
35×35233×352
Simplify
35×35233×325
Multiply the numbers
More Steps

Evaluate
33×325
The product of roots with the same index is equal to the root of the product
33×25
Calculate the product
375
35×352375
Multiply the numbers
More Steps

Evaluate
35×352
The product of roots with the same index is equal to the root of the product
35×52
Calculate the product
353
Reduce the index of the radical and exponent with 3
5
5375
y=5375
Alternative Form
y≈0.843433
Show Solution
