Question

If a = 5 + 2√6, then find the value of a - 1/a

Answer 1

Step-by-step explanation:

a = 5 + 2√6

then, 1/a = 1/5+2√6

1/a = 5 - 2√6. ( by rationalizing the denominator)

a - 1/a

= 5 + 2√6 - 5 - 2√6

= 0