Question
Simplify the expression
14l2−36
Evaluate
l2×14−36
Solution
14l2−36
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Factor the expression
2(7l2−18)
Evaluate
l2×14−36
Use the commutative property to reorder the terms
14l2−36
Solution
2(7l2−18)
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Find the roots
l1=−7314,l2=7314
Alternative Form
l1≈−1.603567,l2≈1.603567
Evaluate
l2×14−36
To find the roots of the expression,set the expression equal to 0
l2×14−36=0
Use the commutative property to reorder the terms
14l2−36=0
Move the constant to the right-hand side and change its sign
14l2=0+36
Removing 0 doesn't change the value,so remove it from the expression
14l2=36
Divide both sides
1414l2=1436
Divide the numbers
l2=1436
Cancel out the common factor 2
l2=718
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±718
Simplify the expression
More Steps

Evaluate
718
To take a root of a fraction,take the root of the numerator and denominator separately
718
Simplify the radical expression
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Evaluate
18
Write the expression as a product where the root of one of the factors can be evaluated
9×2
Write the number in exponential form with the base of 3
32×2
The root of a product is equal to the product of the roots of each factor
32×2
Reduce the index of the radical and exponent with 2
32
732
Multiply by the Conjugate
7×732×7
Multiply the numbers
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Evaluate
2×7
The product of roots with the same index is equal to the root of the product
2×7
Calculate the product
14
7×7314
When a square root of an expression is multiplied by itself,the result is that expression
7314
l=±7314
Separate the equation into 2 possible cases
l=7314l=−7314
Solution
l1=−7314,l2=7314
Alternative Form
l1≈−1.603567,l2≈1.603567
Show Solution
