Question

simplify : (√5-√3)²

Answer 1

Answer:

hope it helps . mark me as brainliest pls

Answer 2

Answer:

I will interpret your question as “what is the value of (-1-i*sqrt(3))^2?”

Sorry if the notation is ugly, I dont know how to use special chars and I am too lazy look it up

Using (a+b)^2=a^2+b^2+2ab

x ^2= (-1-i*sqrt(3))^2 = (1+i*sqrt(3))^2 = 1 - 3 +2i*sqrt(3) = 2 * (i*sqrt(3)-1). That is an analytical awnser, but a boring one.

|(-1-i*sqrt(3))| = sqrt(4) = 2 [using pythagoras]

arg(-1-i*sqrt(3)) = arctan(-sqrt(3)/-1)=60 degrees = pi/3 radians

using euler’s identity: x = |x|e^(i*arg(x))

x = 2*e^(i*pi/3)

since: |x^2| = |x|^2 = 4 and arg(x^2) = 2*arg(x) = 2*pi/3

Then:

x^2 = 4*e^(2*i*pi/3)

I hope it was useful

Step-by-step explanation:

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