I need to know how to rationalize the denominator in the following problem: 6 / the square root of 2. I know the answer but I need help so I know how to get the answer.
2006-09-28 05:11:38 · 4 answers · asked by AZmomm43 4 in Education & Reference ➔ Homework Help
To rationalize a denominator, you usually want to multiply the fraction you have by a fraction that:
a.) equals 1 (i.e. x / x)
b.) will create a rational denominator
In this case: multiply the fraction by √2 / √2:
6 / √2 * √2 / √2 = 6 * √2 / (√2 * √2)
= 6√2 / 2
= 3√2
2006-09-28 05:15:41 · answer #1 · answered by ³√carthagebrujah 6 · 1⤊ 0⤋
Say to yourself:
This is a denominator.
I am certain it is a denominator.
If it weren't a denominator, what the h*ll could it be?
Since there is no answer to the preceding question, it has to be a demoninator.
Which was my original opinion.
Therefore, this is a denomination.
I have rationalized it to be one.
2006-09-28 05:15:10 · answer #2 · answered by Anonymous · 1⤊ 2⤋
it is really easy, if the bottom is sqrt, then multiply both top and bottom by that same sqrt. 4/rt3 would be 4rt3/3 when you have rationalized it.
2006-09-28 05:15:44 · answer #3 · answered by who be boo? 5 · 0⤊ 0⤋
6/rt2 multiply both the nr and the dr by rt 2
(6/rt2)(rt2/rt2)=6rt2/2
=3rt2(answer)
2006-09-28 05:14:12 · answer #4 · answered by raj 7 · 0⤊ 1⤋