1.

If x = 2 + √3, then findx+1/x​

Answer»

Answer:

4

Step-by-step explanation:

Here,

   x = 2 + √3

⇒ 1 / x = 1 / ( 2 + √3 )

   Multiply as well as divide RHS by 2 - √3

⇒ 1 / x = ( 2 - √3 ) / ( 2 + √3 )( 2 - √3 )

   Using ( a + b )( a - b ) = a^2 - b^2 for DENOMINATOR of RHS

⇒ 1 / x = ( 2 - √3 ) / ( 2^2 - √3 ^2 )

⇒ 1 / x = ( 2 - √3 ) / ( 4 - 3 )

⇒ 1 / x = ( 2 - √3 ) / 1

⇒ 1 / x = 2 - √3

  Then,

⇒ x + 1 / x

⇒ ( 2 + √3 ) + ( 2 - √3 )

⇒ 2 + √3 + 2 - √3

⇒ 2 + 2

⇒ 4


Discussion

No Comment Found

Related InterviewSolutions