Question
Simplify the expression
252l2−1
Evaluate
l2×252−1
Solution
252l2−1
Show Solution

Find the roots
l1=−427,l2=427
Alternative Form
l1≈−0.062994,l2≈0.062994
Evaluate
l2×252−1
To find the roots of the expression,set the expression equal to 0
l2×252−1=0
Use the commutative property to reorder the terms
252l2−1=0
Move the constant to the right-hand side and change its sign
252l2=0+1
Removing 0 doesn't change the value,so remove it from the expression
252l2=1
Divide both sides
252252l2=2521
Divide the numbers
l2=2521
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±2521
Simplify the expression
More Steps

Evaluate
2521
To take a root of a fraction,take the root of the numerator and denominator separately
2521
Simplify the radical expression
2521
Simplify the radical expression
More Steps

Evaluate
252
Write the expression as a product where the root of one of the factors can be evaluated
36×7
Write the number in exponential form with the base of 6
62×7
The root of a product is equal to the product of the roots of each factor
62×7
Reduce the index of the radical and exponent with 2
67
671
Multiply by the Conjugate
67×77
Multiply the numbers
More Steps

Evaluate
67×7
When a square root of an expression is multiplied by itself,the result is that expression
6×7
Multiply the terms
42
427
l=±427
Separate the equation into 2 possible cases
l=427l=−427
Solution
l1=−427,l2=427
Alternative Form
l1≈−0.062994,l2≈0.062994
Show Solution
