Question

X=5+2ROOT6 THEN X-1/ROOTX

Answer 1

Answer:

i am don't no the answer

Step-by-step explanation:

sorry

Answer 2

Answer:

Step-by-step explanation:

Given that,

x = 5 + 2√6

1/x = 1 / ( 5 + 2√6 ) ( ∵ rationalising the denominator )

= 1 / ( 5 + 2√6 ) × (5 - 2√6) / ( 5 - 2√6)

= ( 5 - 2√6 ) / ( 5 + 2√6 ) ( 5 - 2√6 )

= ( 5 - 2√6 ) / ( 5 )² - (2√6)² ( ∵ ( a + b ) (a - b ) = a² - b² )

= ( 5 - 2√6 ) / ( 25 - 24 ) (∵ (2√6)² = (2)² × (√6)² = 4 × 6 = 24 )

= ( 5 - 2√6 ) / 1

= 5 - 2√6

∴ x - 1/x = 5 + 2√6 - ( 5 - 2√6 )

= 5 + 2√6 - 5 + 2√6 ( ∵ - × + = - ; - × - = + )

= 2√6 + 2√6

= 4√6 is the answer.