Question
Simplify the expression
11l4−1
Evaluate
l4×11−1
Solution
11l4−1
Show Solution

Find the roots
l1=−1141331,l2=1141331
Alternative Form
l1≈−0.5491,l2≈0.5491
Evaluate
l4×11−1
To find the roots of the expression,set the expression equal to 0
l4×11−1=0
Use the commutative property to reorder the terms
11l4−1=0
Move the constant to the right-hand side and change its sign
11l4=0+1
Removing 0 doesn't change the value,so remove it from the expression
11l4=1
Divide both sides
1111l4=111
Divide the numbers
l4=111
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±4111
Simplify the expression
More Steps

Evaluate
4111
To take a root of a fraction,take the root of the numerator and denominator separately
41141
Simplify the radical expression
4111
Multiply by the Conjugate
411×41134113
Simplify
411×411341331
Multiply the numbers
More Steps

Evaluate
411×4113
The product of roots with the same index is equal to the root of the product
411×113
Calculate the product
4114
Reduce the index of the radical and exponent with 4
11
1141331
l=±1141331
Separate the equation into 2 possible cases
l=1141331l=−1141331
Solution
l1=−1141331,l2=1141331
Alternative Form
l1≈−0.5491,l2≈0.5491
Show Solution
