Question

if x=14+8√3 then find valueof X+1\x​

Answer 1

x = 14 + 8√3....(1)

so, 1/x = 1/(14 + 8√3)

for rationalising, multiply and divide (14 - 8√3)

1/x = (14 - 8√3)/{(14 + 8√3)(14 - 8√3)}

= (14 - 8√3)/{14² - (8√3)²}

= (14 - 8√3)/{196 - 64 × 3}

= (14 - 8√3)/(196 - 192)

= (7 - 4√3)/2

so, x + 1/x = (14 + 8√3) + (7 - 4√3)/2

= (28 + 16√3 + 7 - 4√3)/2

= (35 + 12√3)/2

hence, value of , x + 1/x = (35 + 12√3)/2

Answer 2

Answer:

35+12√3/2 is the answer hope it helps you