Question

x = 7 + 4√3, the ln solve √x + 1/√x​

Answer 1

Answer:

Answered Apr 5, 2018 · Author has 264 answers and 80.8k answer views. If x=7-4√3, ... If x=3+2√3, then what is the value of √x+1/ √x? ... How do I solve x-1/x-2 + x-3/x-4=10/3?

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

,

x = 7 + 4√3 ----( 1 )

1/x = 1 / ( 7 + 4√3 )

Rationalize the denominator,

1/x = ( 7 - 4√3 ) / ( 7 + 4√3 )( 7 - 4√3 )

= ( 7 - 4√3 ) / [ 7² - ( 4√3 )² ]

= ( 7 - 4√3 ) / [ 49 - 48 ]

1/x = 7 - 4√3 ----( 2 )

Therefore ,

x + 1/x = ( 1 ) + ( 2 )

= 7 + 4√3 + 7 - 4√3

= 14

I hope this helps you.