
distance
i'm trying to find the distance from (2,7) to (5,1)
i used the distance formula and got down to d=√(9+64)
9+64=73, which obviously isn't a perfect square.
9 and 64, however, ARE perfect squares
sooo, is there a way i can use 3 and 8 to figure this out?
or is my answer just gonna be √73
????

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Re:

Hello, deathtolife04!
This is a common thought . . . I wondered it about it myself (years ago).
. . Then I took a closer look . . .
The Distance Formula is: .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . .square! . . .square!
Get it? .We will always have two squares under the square root.
The urge to "simplify" will always be there.
But in general, is not equal to .
So we must wholeheartedly resist the temptation to "simplify", say,
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Personally, I think it's a dirty trick . . . daring us to blunder.
I've accepted other injustices . . .
. . that the word 'monosyllabic' has five syllables
. . that the word 'lisp' has an 's' in it.
So I've learned to cope with the dangerous Distance Formula.