Question
Find the roots
l1=−42,l2=42
Alternative Form
l1≈−5.656854,l2≈5.656854
Evaluate
l2−32
To find the roots of the expression,set the expression equal to 0
l2−32=0
Move the constant to the right-hand side and change its sign
l2=0+32
Removing 0 doesn't change the value,so remove it from the expression
l2=32
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±32
Simplify the expression
More Steps

Evaluate
32
Write the expression as a product where the root of one of the factors can be evaluated
16×2
Write the number in exponential form with the base of 4
42×2
The root of a product is equal to the product of the roots of each factor
42×2
Reduce the index of the radical and exponent with 2
42
l=±42
Separate the equation into 2 possible cases
l=42l=−42
Solution
l1=−42,l2=42
Alternative Form
l1≈−5.656854,l2≈5.656854
Show Solution
