Question

please answer this question​

Answer 1

Answer:

(B) 14

Step-by-step explanation:

x = ³√( 2 + √3 )

=> x³ = 2 + √3

=> 1/x³ = 1 / ( 2 + √3 )

          = ( 2 - √3 ) / [ ( 2 - √3 ) ( 2 + √3 ) ]

          = ( 2 - √3 ) / ( 2² - √3² )

          = ( 2 - √3 ) / ( 4 - 3 )

          = 2 - √3

=> x³ + 1/x³ = 2 + √3 + 2 - √3 = 4

=> ( x³ + 1/x³ )² = 4² = 16

=> x⁶ + 1/x⁶ + 2 = 16

=> x⁶ + 1/x⁶ = 14