Question

if a= 2+root 3 find root a +1 by root a

Answer 1

Solution:

Given

i ) a = 2+√3 ----(1)

ii ) 1/a = 1/(2+√3)

Rationalising the denominator,

we get

= (2-√3)/[(2-√3)(2+√3)]

= (2-√3)/[2²-(√3)²]

= (2-√3)/(4-3)

= (2-√3) ----(2)

iii) a+1/a

= 2+√3+2-√3

= 4

Therefore,

a+1/a = 4

••••

Answer 2

Answer:

i ) a = 2+√3 ----(1)

ii ) 1/a = 1/(2+√3)

Rationalising the denominator,

we get

= (2-√3)/[(2-√3)(2+√3)]

= (2-√3)/[2²-(√3)²]

= (2-√3)/(4-3)

= (2-√3) ----(2)

iii) a+1/a

= 2+√3+2-√3

= 4

Therefore,

a+1/a = 4

••••

Step-by-step explanation: