Question
Simplify the expression
−8+c2
Evaluate
−(8−c2)
Solution
−8+c2
Show Solution

Find the roots
c1=−22,c2=22
Alternative Form
c1≈−2.828427,c2≈2.828427
Evaluate
−(8−c2)
To find the roots of the expression,set the expression equal to 0
−(8−c2)=0
Calculate
−8+c2=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
