If x = 3 + 2 √2 , then find the value of x + 1 / x .
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Step-by-step explanation:
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Answered by
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Hey there
Pls refer below for the soln of ur asked query
Step-by-step explanation:
Given: x=3+2√2
So
1/x= 1/( 3+2√2)
Rationalising by multiplying and dividing by (3-2√2)
1/x= 1/(3+2√2) × (3-2√2)/(3-2√2)
= (3-2√2)/ [3^2-(2√2)^2]
= (3-2√2)/ (9-8)
= (3-2√2)
Now
x+1/x = 3+2√2 + 3-2√2
= 3+3
=6
which is the required ans
Feel Free to ask if u have any doubts!
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