Question

if x =√3-√2.

find the value of
x+1/x​

Answer 1

u need to rationalise the denominator of 1/root3 -root2.
then you need to add root3 -root2 with the answer u get above.
now ur problem is solved.

hope it helps..........

Answer 2

Given X = √3 - √2

X + 1/X

√3 - √2 + 1 / √3 - √2

Rationalize the denominator

Multiply and divide with √3+√2

(√3-√2) + 1 / √3-√2 × √3+√2

(√3-√2) + (1×√3-√2) / (√3)2 - (√2)2

(√3-√2) + (√3-√2) / 3-2

(√3-√2) + (√3-√2) / 1

√3-√2 +√3-√2 / 1

-√2-√2 / 1

√4 / 1

2/1