Question
Simplify the expression
232l2−25
Evaluate
l2×232−25
Solution
232l2−25
Show Solution

Find the roots
l1=−116558,l2=116558
Alternative Form
l1≈−0.328266,l2≈0.328266
Evaluate
l2×232−25
To find the roots of the expression,set the expression equal to 0
l2×232−25=0
Use the commutative property to reorder the terms
232l2−25=0
Move the constant to the right-hand side and change its sign
232l2=0+25
Removing 0 doesn't change the value,so remove it from the expression
232l2=25
Divide both sides
232232l2=23225
Divide the numbers
l2=23225
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±23225
Simplify the expression
More Steps

Evaluate
23225
To take a root of a fraction,take the root of the numerator and denominator separately
23225
Simplify the radical expression
More Steps

Evaluate
25
Write the number in exponential form with the base of 5
52
Reduce the index of the radical and exponent with 2
5
2325
Simplify the radical expression
More Steps

Evaluate
232
Write the expression as a product where the root of one of the factors can be evaluated
4×58
Write the number in exponential form with the base of 2
22×58
The root of a product is equal to the product of the roots of each factor
22×58
Reduce the index of the radical and exponent with 2
258
2585
Multiply by the Conjugate
258×58558
Multiply the numbers
More Steps

Evaluate
258×58
When a square root of an expression is multiplied by itself,the result is that expression
2×58
Multiply the terms
116
116558
l=±116558
Separate the equation into 2 possible cases
l=116558l=−116558
Solution
l1=−116558,l2=116558
Alternative Form
l1≈−0.328266,l2≈0.328266
Show Solution
