Question
Solve the equation
x=66321780
Alternative Form
x≈0.423131
Evaluate
x2×6x×11=5
Multiply
More Steps

Evaluate
x2×6x×11
Multiply the terms with the same base by adding their exponents
x2+1×6×11
Add the numbers
x3×6×11
Multiply the terms
x3×66
Use the commutative property to reorder the terms
66x3
66x3=5
Divide both sides
6666x3=665
Divide the numbers
x3=665
Take the 3-th root on both sides of the equation
3x3=3665
Calculate
x=3665
Solution
More Steps

Evaluate
3665
To take a root of a fraction,take the root of the numerator and denominator separately
36635
Multiply by the Conjugate
366×366235×3662
Simplify
366×366235×34356
Multiply the numbers
More Steps

Evaluate
35×34356
The product of roots with the same index is equal to the root of the product
35×4356
Calculate the product
321780
366×3662321780
Multiply the numbers
More Steps

Evaluate
366×3662
The product of roots with the same index is equal to the root of the product
366×662
Calculate the product
3663
Reduce the index of the radical and exponent with 3
66
66321780
x=66321780
Alternative Form
x≈0.423131
Show Solution
