arg(-2-i) = sqrt[22 + 12] = sqrt(5)
This is a complex number, not an algebraic expression. The letter i represents the imaginary unit (which is equal to sqrt(-1)). Graphiclly, with real numbers on a horizontal axis, and imaginary numbers on a vertical axis, this means starting at the origin, go to the left 5 units, and then go down 12 units.
9 to 12 is the ratio. BUT, if you simplify it (divide them both by the same number which makes both of them come out to a whole number) it's 3 to 4
To simplify 158/12, divide 158 by 12. The answer is 13 remainder 2. 13 is a whole number. Now, pit the 2 over 12. It is 2/12, but it needs to be simplified, so divide the denominator and numerator by 2. The answer is 1/6. Put it with the 13 and the final answer is 13 1/6.
4/7
-12 = 4 x 3 x -1 so sqrt = 2i root 3
sqrt(-12/4) = sqrt(-3) = +/- i*sqrt(3) where i is the imaginary sqrt of -1.
6
- 24 sqrt(6) / 6 sqrt(12) = (-24/6) sqrt(6/12) = (-4) sqrt(1/2)
Factorise 12.Replace each pair appearing in this factorisation as by the same number outside the radical and then put everything under the radical sign. sqrt(12) = sqrt(2*2*3) = 2*sqrt(3)
26
sqrt(12) = sqrt(4*3) = sqrt(4)*sqrt(3) = 2*sqrt(3)
9
You can't simplify a number into a bigger number, stupid
-6 +/- i*sqrt(139) where i is the imaginary square root of -1.
so x squared + 12 = 0 so xsquared = -12 which lands you in the realm of imaginary numbers. The square root of -12 is 2i root 3 where i is the imaginary sqrt of -1.
12 sqrt(6)-12sqrt(12) = 12 [sqrt(6)-sqrt(12)] sqrt(6)=sqrt(2x3) = sqrt(2) x sqrt(3) sqrt(12)=sqrt(22x3) = sqrt(22) x sqrt(3) = 2 sqrt(3) sqrt(6) - sqrt(12) = sqrt(2) x sqrt(3) - 2 sqrt(3) = sqrt(3) [sqrt(2)-2] So 12 sqrt(6)-12sqrt(12) = 12 sqrt(3) [sqrt(2)-2]