meaning hello ^.^
thank god its the weekend I AM EXHAUSTED !!!!!!
Well today is another BLOG DAY:) !!!YAY!!!!! NOT REALLY !!!!! :P
Lets gets started with a picture that gets me through the day :) :
Isn't this a perfect collaboration of both FOOD and MATH ^.^
This is my FAVORITE math picture so far :)
Now onto our question of the day ......
How do we rationalize a denominator ?
we only rationalized the denominator when we are dealing with radicals at the bottom of the expression. We rationalize the denominator to obtain a solid number that can make the fraction be true.
For Example this is our expression :
-10
10-√2
Lets start,
First Step : multiply both the numerator and
denominator by the conjugate of the denominator.The
conjugate means to just flip the middle sign.
Example:
-10 (10+√2)
(10-√2) (10+√2)
Numerator :
First part = -10(10√2)
-10(10√2) = -100√2 -> radicals do not change
unless you multiply a radical by a radical.
Denominator :
10*10=100
(10)(√2) = 10√2
(-√2)(10) = 10 -√2 ( negative times a positive is
negative)
(-√2)(+√2) = -√4 (radical times radical equals
radical.)
Second Step : unite all parts together.
-100√2
100 10√2 10-√2 -√4
Step Three: Combine like terms
-100√2 = no like terms so we leave it as it is.
100 10√2 10-√2 -√4 :
both (10√2) and (10-√2) cancel each other because
one is positive and the other is negative.
we are then left with : 100 -√4
The square root of (√4) is 2, therefore it would turn
to -2.
so.. 100-2 = 98.
Step four : Unite both parts for a final answer.
YAY !!! ^.^
-100√2
98
Now you try :D
Solve :
4
-9-√3
9
10+√5
Final picture :
This is me after so much math,hopefully you feel the
same as i do :P
안녕히 가세요 (annyeonghi gaseyo)
meaning GOODBYE ^.^
Works cited:
Food and math picture: http://img.math-
Woman running away:
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