If x = 5 - 2√6, find whether x + 1/ x is a rational number or irrational number.
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x = 5 -2root6-----(1)
1/x = 1/5-2root6
= [1*(5+2root6)]/(5-2root6)(5+2root6)
=(5+2root6)/[5^2 -(2root6)^2]
=(5+2root6)/(25-24)
=5+2root6-----(2)
x+1/x = (1)+(2)
= 5-2root6+5+2root6
=10
1/x = 1/5-2root6
= [1*(5+2root6)]/(5-2root6)(5+2root6)
=(5+2root6)/[5^2 -(2root6)^2]
=(5+2root6)/(25-24)
=5+2root6-----(2)
x+1/x = (1)+(2)
= 5-2root6+5+2root6
=10
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bhai sabh khud bhi kuch padh lo
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