1. Find the quadratic equation, if one of the roots is
√5 - √3
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X=√5-√3
X+√3=√5
squaring on both sides
(X+√3)^2=(√5)^2
x^2+2√3 X+3=5
x^2+2√3 X+3-5=0
x^2+2√3 x-2=0
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