if x =3+2√2 ,then find whether x + 1/x is irrational or rational
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The solution as shown above!
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Hi friend!!
Given,
x=3+2√2
1/x=1/(3+2√2)
Multiplying and dividing with 3-2√2, we get
= (3-2√2)/(3+2√2)(3-2√2)
=(3-2√2)/(9-8)
=3-2√2
Now, x+1/x = 3+2√2+3-2√2
=3+3
=6 (rational)
I hope this will help you ;)
Given,
x=3+2√2
1/x=1/(3+2√2)
Multiplying and dividing with 3-2√2, we get
= (3-2√2)/(3+2√2)(3-2√2)
=(3-2√2)/(9-8)
=3-2√2
Now, x+1/x = 3+2√2+3-2√2
=3+3
=6 (rational)
I hope this will help you ;)
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