If a=(1+root3)/(1-root3) and b=(1-root3)/(1+root3) find a^2+b^2
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Step-by-step explanation:(√3-1)/(√3+1)
=[(√3-1)/(√3+1)]×[(√3-1)/(√3-1)]
=(3+1-2√3)/(3-1)
=(4-2√3)/2
=[2(2-√3)]/2
=2-√3
a-b√3=2-√3
∴the values of a=2 and b=1
So the values of a and b are 2 and 1 respectively.
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