Question

यदि a=2+√3 है तो a -1/a का मान ज्ञात कीजिए

please explain/solve in hindi​

Answer 1

a = 2 + √3

Find :- a - 1/a

or , 2 + √3 - 1/2 + √3

Rationalize multiply by 2 - √3 in both denominator and numerator.

$(a + b) \: (a - b) = {a}^{2} - {b}^{2}$

or, (2 + √3) - 1 ( 2 - √3)/ (2 + √3 ) ( 2- √ 3)

or , 4 - 2√3 +2√3 - 3 - 2 + √3/ 4 - 3

or, 4-5 +√3/1

or, -1 +√3 /1 = - 1 +√3