Question

If a=2+root3 , then find the value of a-1/a​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

a = 2+√3

a-1/a = (a^2-1)/a

= (4+9+4√3-1)/(2+√3)

= 4(3+√3)/(2+√3)

= 4√3(1+√3)(2-√3)/1

= 4√3(2-√3+2√3-3)

= 4√3(√3-1)