Question

If a=2√2+√7 , then the value of a-1/a please tell me step by step​

Answer 1

Step-by-step explanation:

a=2√2+√7

1/a=1/2√2+√7 ( by rationalising denominator)

1/a=2√2-√7/2√2+√7×2√2-√7 (a²-b²=(a+b)(a-b))

1/a=2√2-√7/8-7

1/a=2√2-√7

a-1/a

2√2+√7-(2√2-√7)

2√2+√7-2√2+√7

2√7