Question
Simplify the expression
2m2−9
Evaluate
m2×2−9
Solution
2m2−9
Show Solution

Find the roots
m1=−232,m2=232
Alternative Form
m1≈−2.12132,m2≈2.12132
Evaluate
m2×2−9
To find the roots of the expression,set the expression equal to 0
m2×2−9=0
Use the commutative property to reorder the terms
2m2−9=0
Move the constant to the right-hand side and change its sign
2m2=0+9
Removing 0 doesn't change the value,so remove it from the expression
2m2=9
Divide both sides
22m2=29
Divide the numbers
m2=29
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±29
Simplify the expression
More Steps

Evaluate
29
To take a root of a fraction,take the root of the numerator and denominator separately
29
Simplify the radical expression
More Steps

Evaluate
9
Write the number in exponential form with the base of 3
32
Reduce the index of the radical and exponent with 2
3
23
Multiply by the Conjugate
2×232
When a square root of an expression is multiplied by itself,the result is that expression
232
m=±232
Separate the equation into 2 possible cases
m=232m=−232
Solution
m1=−232,m2=232
Alternative Form
m1≈−2.12132,m2≈2.12132
Show Solution
