Question
Solve the equation
x=23180
Alternative Form
x≈2.823108
Evaluate
4x3=102−12
Subtract the numbers
4x3=90
Divide both sides
44x3=490
Divide the numbers
x3=490
Cancel out the common factor 2
x3=245
Take the 3-th root on both sides of the equation
3x3=3245
Calculate
x=3245
Solution
More Steps

Evaluate
3245
To take a root of a fraction,take the root of the numerator and denominator separately
32345
Multiply by the Conjugate
32×322345×322
Simplify
32×322345×34
Multiply the numbers
More Steps

Evaluate
345×34
The product of roots with the same index is equal to the root of the product
345×4
Calculate the product
3180
32×3223180
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
23180
x=23180
Alternative Form
x≈2.823108
Show Solution
