Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
c2−8
Evaluate
c2×1−8
Solution
c2−8
Show Solution
Find the roots
c1=−22,c2=22
Alternative Form
c1≈−2.828427,c2≈2.828427
Evaluate
c2×1−8
To find the roots of the expression,set the expression equal to 0
c2×1−8=0
Any expression multiplied by 1 remains the same
c2−8=0
Move the constant to the right-hand side and change its sign
c2=0+8
Removing 0 doesn't change the value,so remove it from the expression
c2=8
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±8
Simplify the expression
More Steps
Evaluate
8
Write the expression as a product where the root of one of the factors can be evaluated
4×2
Write the number in exponential form with the base of 2
22×2
The root of a product is equal to the product of the roots of each factor
22×2
Reduce the index of the radical and exponent with 2
22
c=±22
Separate the equation into 2 possible cases
c=22c=−22
Solution
c1=−22,c2=22
Alternative Form
c1≈−2.828427,c2≈2.828427
Show Solution