Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
o2−8
Evaluate
o2×1−8
Solution
o2−8
Show Solution
Find the roots
o1=−22,o2=22
Alternative Form
o1≈−2.828427,o2≈2.828427
Evaluate
o2×1−8
To find the roots of the expression,set the expression equal to 0
o2×1−8=0
Any expression multiplied by 1 remains the same
o2−8=0
Move the constant to the right-hand side and change its sign
o2=0+8
Removing 0 doesn't change the value,so remove it from the expression
o2=8
Take the root of both sides of the equation and remember to use both positive and negative roots
o=±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
o=±22
Separate the equation into 2 possible cases
o=22o=−22
Solution
o1=−22,o2=22
Alternative Form
o1≈−2.828427,o2≈2.828427
Show Solution