Question
Simplify the expression
36l2−1
Evaluate
l2×36−1
Solution
36l2−1
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Factor the expression
(6l−1)(6l+1)
Evaluate
l2×36−1
Use the commutative property to reorder the terms
36l2−1
Rewrite the expression in exponential form
(6l)2−12
Solution
(6l−1)(6l+1)
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Find the roots
l1=−61,l2=61
Alternative Form
l1=−0.16˙,l2=0.16˙
Evaluate
l2×36−1
To find the roots of the expression,set the expression equal to 0
l2×36−1=0
Use the commutative property to reorder the terms
36l2−1=0
Move the constant to the right-hand side and change its sign
36l2=0+1
Removing 0 doesn't change the value,so remove it from the expression
36l2=1
Divide both sides
3636l2=361
Divide the numbers
l2=361
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±361
Simplify the expression
More Steps

Evaluate
361
To take a root of a fraction,take the root of the numerator and denominator separately
361
Simplify the radical expression
361
Simplify the radical expression
More Steps

Evaluate
36
Write the number in exponential form with the base of 6
62
Reduce the index of the radical and exponent with 2
6
61
l=±61
Separate the equation into 2 possible cases
l=61l=−61
Solution
l1=−61,l2=61
Alternative Form
l1=−0.16˙,l2=0.16˙
Show Solution
