4m/√m-5
What about it?
furthermore, do you mean:
4m/√m - 5 , the way you typed it, or
4m/(√m - 5) , or
4m/√(m-5) ???
4m/(√m - 5)
ok, back to my first question , what about it?
are we estimating?
are we evaluating?
are we rationalizing the denominator?
are we painting it yellow?
rationalizing the denominator
4m/(√m - 5)
= 4m/(√m - 5)*(√m + 5)/(√m + 5)
= 4m((√m + 5)/(m-25)
or
(4m√m + 20m)/(m-25)
To simplify the expression 4m/√(m-5), you can follow these steps:
Step 1: Simplify the expression inside the square root, if possible.
- There is nothing you can do to further simplify the expression m-5 under the square root.
Step 2: Rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator.
- The conjugate of √(m-5) is √(m-5), so multiplying the numerator and denominator by √(m-5) gives us:
4m * √(m-5)
-----------------
√(m-5) * √(m-5)
Step 3: Simplify the expression further.
- Multiply the numerators: 4m * √(m-5) = 4m√(m-5)
- Multiply the denominators: √(m-5) * √(m-5) = m-5
- The simplified expression is now:
4m√(m-5)
---------
m-5