Question

if x = 1/root7 - root of 6 then find x+ 1/x

Answer 1

Hi ,

1 ) x = 1/( √7 - √6 )

= ( √7 + √6 )/[ ( √7 - √6 )( √7 + √6 ) ]

= ( √7 + √6 ) /[ ( √7 )² - ( √6 )² ]

= ( √7 + √6 ) / ( 7 - 6 )

= √7 + √6 ---( 1 )

2 ) x = 1/ ( √7 - √6 )

1/x = √7 - √6 ---( 2 )

Therefore ,

x + 1/x = √7 + √6 + √7 - √6

= 2√7

I hope this helps you.

: )