Question
Simplify the expression
22l3−1
Evaluate
l3×22−1
Solution
22l3−1
Show Solution

Find the roots
l=223484
Alternative Form
l≈0.356883
Evaluate
l3×22−1
To find the roots of the expression,set the expression equal to 0
l3×22−1=0
Use the commutative property to reorder the terms
22l3−1=0
Move the constant to the right-hand side and change its sign
22l3=0+1
Removing 0 doesn't change the value,so remove it from the expression
22l3=1
Divide both sides
2222l3=221
Divide the numbers
l3=221
Take the 3-th root on both sides of the equation
3l3=3221
Calculate
l=3221
Solution
More Steps

Evaluate
3221
To take a root of a fraction,take the root of the numerator and denominator separately
32231
Simplify the radical expression
3221
Multiply by the Conjugate
322×32223222
Simplify
322×32223484
Multiply the numbers
More Steps

Evaluate
322×3222
The product of roots with the same index is equal to the root of the product
322×222
Calculate the product
3223
Reduce the index of the radical and exponent with 3
22
223484
l=223484
Alternative Form
l≈0.356883
Show Solution
