Question
Simplify the expression
111l3−1
Evaluate
l3×111−1
Solution
111l3−1
Show Solution

Find the roots
l=111312321
Alternative Form
l≈0.208078
Evaluate
l3×111−1
To find the roots of the expression,set the expression equal to 0
l3×111−1=0
Use the commutative property to reorder the terms
111l3−1=0
Move the constant to the right-hand side and change its sign
111l3=0+1
Removing 0 doesn't change the value,so remove it from the expression
111l3=1
Divide both sides
111111l3=1111
Divide the numbers
l3=1111
Take the 3-th root on both sides of the equation
3l3=31111
Calculate
l=31111
Solution
More Steps

Evaluate
31111
To take a root of a fraction,take the root of the numerator and denominator separately
311131
Simplify the radical expression
31111
Multiply by the Conjugate
3111×3111231112
Simplify
3111×31112312321
Multiply the numbers
More Steps

Evaluate
3111×31112
The product of roots with the same index is equal to the root of the product
3111×1112
Calculate the product
31113
Reduce the index of the radical and exponent with 3
111
111312321
l=111312321
Alternative Form
l≈0.208078
Show Solution
