Question
Simplify the expression
142l3−16
Evaluate
l3×142−16
Solution
142l3−16
Show Solution

Factor the expression
2(71l3−8)
Evaluate
l3×142−16
Use the commutative property to reorder the terms
142l3−16
Solution
2(71l3−8)
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Find the roots
l=71235041
Alternative Form
l≈0.482996
Evaluate
l3×142−16
To find the roots of the expression,set the expression equal to 0
l3×142−16=0
Use the commutative property to reorder the terms
142l3−16=0
Move the constant to the right-hand side and change its sign
142l3=0+16
Removing 0 doesn't change the value,so remove it from the expression
142l3=16
Divide both sides
142142l3=14216
Divide the numbers
l3=14216
Cancel out the common factor 2
l3=718
Take the 3-th root on both sides of the equation
3l3=3718
Calculate
l=3718
Solution
More Steps

Evaluate
3718
To take a root of a fraction,take the root of the numerator and denominator separately
37138
Simplify the radical expression
More Steps

Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
3712
Multiply by the Conjugate
371×371223712
Simplify
371×3712235041
Multiply the numbers
More Steps

Evaluate
371×3712
The product of roots with the same index is equal to the root of the product
371×712
Calculate the product
3713
Reduce the index of the radical and exponent with 3
71
71235041
l=71235041
Alternative Form
l≈0.482996
Show Solution
