Question
Simplify the expression
142l2−8
Evaluate
l2×142−8
Solution
142l2−8
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Factor the expression
2(71l2−4)
Evaluate
l2×142−8
Use the commutative property to reorder the terms
142l2−8
Solution
2(71l2−4)
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Find the roots
l1=−71271,l2=71271
Alternative Form
l1≈−0.237356,l2≈0.237356
Evaluate
l2×142−8
To find the roots of the expression,set the expression equal to 0
l2×142−8=0
Use the commutative property to reorder the terms
142l2−8=0
Move the constant to the right-hand side and change its sign
142l2=0+8
Removing 0 doesn't change the value,so remove it from the expression
142l2=8
Divide both sides
142142l2=1428
Divide the numbers
l2=1428
Cancel out the common factor 2
l2=714
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±714
Simplify the expression
More Steps

Evaluate
714
To take a root of a fraction,take the root of the numerator and denominator separately
714
Simplify the radical expression
More Steps

Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
712
Multiply by the Conjugate
71×71271
When a square root of an expression is multiplied by itself,the result is that expression
71271
l=±71271
Separate the equation into 2 possible cases
l=71271l=−71271
Solution
l1=−71271,l2=71271
Alternative Form
l1≈−0.237356,l2≈0.237356
Show Solution
