Question

If X=3 + 2 root 2 then find the value of ( x + 1/X )
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Answer 1

Answer:

$( 6 + 4 \sqrt{2} + 1) \div (3 + 2 \sqrt{2} )$

Step-by-step explanation:

$x = 3 + 2 \sqrt{2} \\ 1 \div x = 1 \div (3 + 2 \sqrt{2}) \\ x + 1 \div x = 3 + 2 \sqrt{2} + (1 \div (3 + 2 \sqrt{2} ) \\ = (2(3 + 2 \sqrt{2} ) + 1 ) \div (3 + 2 \sqrt{2} ) \\ = (6 + 4 \sqrt{2} + 1) \div (3 + 2 \sqrt{2} )$