Question
Solve the equation
x=43364
Alternative Form
x≈1.785009
Evaluate
365x3×64=132860
Multiply the terms
23360x3=132860
Divide both sides
2336023360x3=23360132860
Divide the numbers
x3=23360132860
Cancel out the common factor 1460
x3=1691
Take the 3-th root on both sides of the equation
3x3=31691
Calculate
x=31691
Solution
More Steps

Evaluate
31691
To take a root of a fraction,take the root of the numerator and denominator separately
316391
Simplify the radical expression
More Steps

Evaluate
316
Write the expression as a product where the root of one of the factors can be evaluated
38×2
Write the number in exponential form with the base of 2
323×2
The root of a product is equal to the product of the roots of each factor
323×32
Reduce the index of the radical and exponent with 3
232
232391
Multiply by the Conjugate
232×322391×322
Simplify
232×322391×34
Multiply the numbers
More Steps

Evaluate
391×34
The product of roots with the same index is equal to the root of the product
391×4
Calculate the product
3364
232×3223364
Multiply the numbers
More Steps

Evaluate
232×322
Multiply the terms
2×2
Multiply the numbers
4
43364
x=43364
Alternative Form
x≈1.785009
Show Solution
