Question
Factor the expression
6(3−4m2)
Evaluate
18−24m2
Solution
6(3−4m2)
Show Solution

Find the roots
m1=−23,m2=23
Alternative Form
m1≈−0.866025,m2≈0.866025
Evaluate
18−24m2
To find the roots of the expression,set the expression equal to 0
18−24m2=0
Move the constant to the right-hand side and change its sign
−24m2=0−18
Removing 0 doesn't change the value,so remove it from the expression
−24m2=−18
Change the signs on both sides of the equation
24m2=18
Divide both sides
2424m2=2418
Divide the numbers
m2=2418
Cancel out the common factor 6
m2=43
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±43
Simplify the expression
More Steps

Evaluate
43
To take a root of a fraction,take the root of the numerator and denominator separately
43
Simplify the radical expression
More Steps

Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
23
m=±23
Separate the equation into 2 possible cases
m=23m=−23
Solution
m1=−23,m2=23
Alternative Form
m1≈−0.866025,m2≈0.866025
Show Solution
