Question
Solve the equation
x=63828
Alternative Form
x≈1.56504
Evaluate
46=6x3×2
Multiply the terms
46=12x3
Swap the sides of the equation
12x3=46
Divide both sides
1212x3=1246
Divide the numbers
x3=1246
Cancel out the common factor 2
x3=623
Take the 3-th root on both sides of the equation
3x3=3623
Calculate
x=3623
Solution
More Steps

Evaluate
3623
To take a root of a fraction,take the root of the numerator and denominator separately
36323
Multiply by the Conjugate
36×362323×362
Simplify
36×362323×336
Multiply the numbers
More Steps

Evaluate
323×336
The product of roots with the same index is equal to the root of the product
323×36
Calculate the product
3828
36×3623828
Multiply the numbers
More Steps

Evaluate
36×362
The product of roots with the same index is equal to the root of the product
36×62
Calculate the product
363
Reduce the index of the radical and exponent with 3
6
63828
x=63828
Alternative Form
x≈1.56504
Show Solution
