Question
Simplify the expression
n2−8
Evaluate
n2−3−5
Solution
n2−8
Show Solution

Find the roots
n1=−22,n2=22
Alternative Form
n1≈−2.828427,n2≈2.828427
Evaluate
n2−3−5
To find the roots of the expression,set the expression equal to 0
n2−3−5=0
Subtract the numbers
n2−8=0
Move the constant to the right-hand side and change its sign
n2=0+8
Removing 0 doesn't change the value,so remove it from the expression
n2=8
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±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
n=±22
Separate the equation into 2 possible cases
n=22n=−22
Solution
n1=−22,n2=22
Alternative Form
n1≈−2.828427,n2≈2.828427
Show Solution
