Question
Simplify the expression
x2−8
Evaluate
x2−4×2
Solution
x2−8
Show Solution

Find the roots
x1=−22,x2=22
Alternative Form
x1≈−2.828427,x2≈2.828427
Evaluate
x2−4×2
To find the roots of the expression,set the expression equal to 0
x2−4×2=0
Multiply the numbers
x2−8=0
Move the constant to the right-hand side and change its sign
x2=0+8
Removing 0 doesn't change the value,so remove it from the expression
x2=8
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±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
x=±22
Separate the equation into 2 possible cases
x=22x=−22
Solution
x1=−22,x2=22
Alternative Form
x1≈−2.828427,x2≈2.828427
Show Solution
