Question
Solve the equation
x=3345
Alternative Form
x≈1.185631
Evaluate
x2×6x=10
Multiply
More Steps

Evaluate
x2×6x
Multiply the terms with the same base by adding their exponents
x2+1×6
Add the numbers
x3×6
Use the commutative property to reorder the terms
6x3
6x3=10
Divide both sides
66x3=610
Divide the numbers
x3=610
Cancel out the common factor 2
x3=35
Take the 3-th root on both sides of the equation
3x3=335
Calculate
x=335
Solution
More Steps

Evaluate
335
To take a root of a fraction,take the root of the numerator and denominator separately
3335
Multiply by the Conjugate
33×33235×332
Simplify
33×33235×39
Multiply the numbers
More Steps

Evaluate
35×39
The product of roots with the same index is equal to the root of the product
35×9
Calculate the product
345
33×332345
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
3345
x=3345
Alternative Form
x≈1.185631
Show Solution
