Question
Solve the equation
x=4138405
Alternative Form
x≈0.495901
Evaluate
180=6x3×246
Multiply the terms
180=1476x3
Swap the sides of the equation
1476x3=180
Divide both sides
14761476x3=1476180
Divide the numbers
x3=1476180
Cancel out the common factor 36
x3=415
Take the 3-th root on both sides of the equation
3x3=3415
Calculate
x=3415
Solution
More Steps

Evaluate
3415
To take a root of a fraction,take the root of the numerator and denominator separately
34135
Multiply by the Conjugate
341×341235×3412
Simplify
341×341235×31681
Multiply the numbers
More Steps

Evaluate
35×31681
The product of roots with the same index is equal to the root of the product
35×1681
Calculate the product
38405
341×341238405
Multiply the numbers
More Steps

Evaluate
341×3412
The product of roots with the same index is equal to the root of the product
341×412
Calculate the product
3413
Reduce the index of the radical and exponent with 3
41
4138405
x=4138405
Alternative Form
x≈0.495901
Show Solution
