Question
Solve the equation
x=23342
Alternative Form
x≈3.496595
Evaluate
4x3=171
Divide both sides
44x3=4171
Divide the numbers
x3=4171
Take the 3-th root on both sides of the equation
3x3=34171
Calculate
x=34171
Solution
More Steps

Evaluate
34171
To take a root of a fraction,take the root of the numerator and denominator separately
343171
Multiply by the Conjugate
34×3423171×342
Simplify
34×3423171×232
Multiply the numbers
More Steps

Evaluate
3171×232
Multiply the terms
3342×2
Use the commutative property to reorder the terms
23342
34×34223342
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
2223342
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
23342
x=23342
Alternative Form
x≈3.496595
Show Solution
