Can the numerator with radical be conjugated?
Please give me examples
2006-09-01 13:13:35 · 6 answers · asked by jHorny-sHorny 2 in Science & Mathematics ➔ Mathematics
It can, but doing so is usually pointless. The reason it's normally done in the denominator of a fraction is to simplify it, that is, to rationalize the denominator.
In the days before calculators, math-types that didn't memorize numbers like (√3)/3 could approximate them to as many decimal places as needed by looking up a table-value for √3 and dividing it by 3 without too much trouble. However, having a radical expression in the denominator of a fraction meant to divide some number by an irrational, providing a very irritating operation to perform and a less accurate result. That's why denominators are rationalized by either multiplying by a root or a conjugate including a root, and numerators are left as they are.
2006-09-01 13:31:52 · answer #1 · answered by Anonymous · 2⤊ 0⤋
Well...
You can conjugate whatever you want, but it only makes sense to do it with the denominator. If you had
1-sqrt2
----------
1+sqrt2
It would only be useful to multiply by 1 in the form of (1-sqrt2)/(1-sqrt2), yielding
-(1-2sqrt2 +2)=2sqrt2-3
And it would be like a step away from a final answer to multiply by (1+sqrt2)/(1+sqrt2), since that would give you
1/(-3-2sqrt2)
2006-09-01 13:35:39 · answer #2 · answered by Mehoo 3 · 2⤊ 0⤋
I went to an integrated high school in Texas. In my math class, I learned that two plus dos equal fo'! How 'bout dat?
2006-09-01 13:21:05 · answer #3 · answered by Carlos R 5 · 0⤊ 0⤋
no i think you only conjugate the denominator
i hated algebra 2....good luck tho!
2006-09-01 13:20:02 · answer #4 · answered by LoLa 3 · 0⤊ 0⤋
No, you would only need to do that with the denominator, in which case you would rationalize it.
2006-09-01 13:26:47 · answer #5 · answered by ? 3 · 0⤊ 0⤋
no canjugation is used for denominator
2006-09-02 02:48:34 · answer #6 · answered by Anonymous · 0⤊ 0⤋