Question

If x= 7+4​√3 then find the value of root x+(1/ root x) please answer don't cheat and needed step by step explanation

Answer 1

Answer:

x = 7 + 4√3

x + 1 /√x = ?

rationalize = 7 + 4√3 * 7 - 4√3/7 - 4√3

rationalized answer = 7 - 4√3

so 1/x = 7 - 4√3

1/√x = √(7 - 4√3)

x + 1/√x = (7 + 4√3) + √(7 - 4√3)

7 + 4√3 + 2√(7 - √3)

√3 = 1.73

√2 = 1.41

√7 = 2.64

7 + 4*1.41 + 2*(2.64 - 1.73)

12.64 + 1.92

= 14.56