If x=3+2√2 then find whether x+1/x …
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Posted by Lasya 2132 4 years, 2 months ago
- 3 answers
Gaurav Seth 4 years, 2 months ago
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!.
OR
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Viji Viji 4 years, 2 months ago
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