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If x=3+2√2 then find whether x+1/x …

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If x=3+2√2 then find whether x+1/x is rational or irrational by step by step.

Posted by Lasya 2132 4 years, 2 months ago

CBSE > Class 09 > Mathematics

3 answers

Viji Viji 4 years, 2 months ago

If (5,K) is a solution of the linear equation 2x +y_ 6 =0 then find the value of k

0Thank You

Karan Mehra 4 years, 2 months ago

Jsn

0Thank You

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!.

1Thank You

ANSWER

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CBSE > Class 09 > Mathematics