Question
Solve the equation
x=1131210
Alternative Form
x≈0.968729
Evaluate
x2×11x=10
Multiply
More Steps

Evaluate
x2×11x
Multiply the terms with the same base by adding their exponents
x2+1×11
Add the numbers
x3×11
Use the commutative property to reorder the terms
11x3
11x3=10
Divide both sides
1111x3=1110
Divide the numbers
x3=1110
Take the 3-th root on both sides of the equation
3x3=31110
Calculate
x=31110
Solution
More Steps

Evaluate
31110
To take a root of a fraction,take the root of the numerator and denominator separately
311310
Multiply by the Conjugate
311×3112310×3112
Simplify
311×3112310×3121
Multiply the numbers
More Steps

Evaluate
310×3121
The product of roots with the same index is equal to the root of the product
310×121
Calculate the product
31210
311×311231210
Multiply the numbers
More Steps

Evaluate
311×3112
The product of roots with the same index is equal to the root of the product
311×112
Calculate the product
3113
Reduce the index of the radical and exponent with 3
11
1131210
x=1131210
Alternative Form
x≈0.968729
Show Solution
