Math, asked by phaneeshamk, 6 months ago

If x = 3 + 2 √2 , then find the value of x + 1 / x .

Answers

Answered by Shiva060655
1

Step-by-step explanation:

HOPE THIS MAY HELP YOU...

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Answered by Señorita07
1

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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