1 = square root of 1 = square root of -1 multiplied by -1 = square root of -1 multiplied by square root of -1 = (square root of -1)^2 = -1. Hence, 1 = -1.
2006-12-28 14:24:07 · 4 answers · asked by Teolo B 1 in Science & Mathematics ➔ Mathematics
The fallacy is that the property
sqrt(ab) = sqrt(a) sqrt(b)
Only works on positive numbers.
In this case, you're taking sqrt(-1) and sqrt(-1) for negative numbers. You can't assume that sqrt(-1 * -1) = sqrt(-1)sqrt(-1).
2006-12-28 14:28:01 · answer #1 · answered by Puggy 7 · 0⤊ 0⤋
Square root of -1 is i or an imaginary number, no number times itself can be negative. It is the bases for all imaginary numbers.
2006-12-28 14:43:40 · answer #2 · answered by pechorin1 3 · 0⤊ 0⤋
Your second equal is not true
sqrt (-1)=i and i*i =-1and it not equal by 1
2006-12-28 15:39:56 · answer #3 · answered by muhammad 1 · 0⤊ 0⤋
Yes,both of them are correct.
2006-12-28 15:39:36 · answer #4 · answered by alpha 7 · 0⤊ 0⤋