If x= 3 + 2√2, then check whether +1/is rational or irrational.
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Step-by-step explanation:
Given x = 3+2√2
x +1/x
= 3+2√2+1/3+2√2
= 3+2√2 + 3-2√2/3+2√2(3-2√2)
= 3+2√2 +3-2√2/3² - (2√2)²
= 3+2√2 + 3-2√2/9-8
= 3+2√2 + 3-2√2
= 6 Which can be written in p/q forrm. (6/1)
Therefore it's a rational number!.
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