Question
Simplify the expression
22l2−1
Evaluate
l2×22−1
Solution
22l2−1
Show Solution

Find the roots
l1=−2222,l2=2222
Alternative Form
l1≈−0.213201,l2≈0.213201
Evaluate
l2×22−1
To find the roots of the expression,set the expression equal to 0
l2×22−1=0
Use the commutative property to reorder the terms
22l2−1=0
Move the constant to the right-hand side and change its sign
22l2=0+1
Removing 0 doesn't change the value,so remove it from the expression
22l2=1
Divide both sides
2222l2=221
Divide the numbers
l2=221
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±221
Simplify the expression
More Steps

Evaluate
221
To take a root of a fraction,take the root of the numerator and denominator separately
221
Simplify the radical expression
221
Multiply by the Conjugate
22×2222
When a square root of an expression is multiplied by itself,the result is that expression
2222
l=±2222
Separate the equation into 2 possible cases
l=2222l=−2222
Solution
l1=−2222,l2=2222
Alternative Form
l1≈−0.213201,l2≈0.213201
Show Solution
