if a=5+2 root 6 and b= 1 /a,check whether a+b is a rational or irrational
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Answer: 10
Step-by-step explanation:
a=5+2√6
b=1/a= 1/(5+2√6)
On rationalization
b=1/(5+2√6) × (5-2√6) (5-2√6)
b= (5-2√6) /[5^2-(2(√6)^2]
b= 5-√6/(25-24) = 5-2√6
a+b = 5+2√6 + 5-2√6= 10
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