Question
Simplify the expression
em2−2
Evaluate
m2e−2
Solution
em2−2
Show Solution

Find the roots
m1=−e2e,m2=e2e
Alternative Form
m1≈−0.857764,m2≈0.857764
Evaluate
m2e−2
To find the roots of the expression,set the expression equal to 0
m2e−2=0
Use the commutative property to reorder the terms
em2−2=0
Move the constant to the right-hand side and change its sign
em2=0+2
Removing 0 doesn't change the value,so remove it from the expression
em2=2
Divide both sides
eem2=e2
Divide the numbers
m2=e2
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±e2
Simplify the expression
More Steps

Evaluate
e2
To take a root of a fraction,take the root of the numerator and denominator separately
e2
Multiply by the Conjugate
e×e2×e
The product of roots with the same index is equal to the root of the product
e×e2e
When a square root of an expression is multiplied by itself,the result is that expression
e2e
m=±e2e
Separate the equation into 2 possible cases
m=e2em=−e2e
Solution
m1=−e2e,m2=e2e
Alternative Form
m1≈−0.857764,m2≈0.857764
Show Solution
