Question
Solve the equation
x=2338
Alternative Form
x≈1.680988
Evaluate
4x3=19
Divide both sides
44x3=419
Divide the numbers
x3=419
Take the 3-th root on both sides of the equation
3x3=3419
Calculate
x=3419
Solution
More Steps

Evaluate
3419
To take a root of a fraction,take the root of the numerator and denominator separately
34319
Multiply by the Conjugate
34×342319×342
Simplify
34×342319×232
Multiply the numbers
More Steps

Evaluate
319×232
Multiply the terms
338×2
Use the commutative property to reorder the terms
2338
34×3422338
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
222338
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
2338
x=2338
Alternative Form
x≈1.680988
Show Solution
