Question

pls answer the question....10 points​

Answer 1

Step-by-step explanation:

a=5-2√6

1/a=(1/5-2√6)

=>1×(5+2√6)/5-2√6×(5+2√6)

=>5+2√6/25-24

=>5+2√6

_____________

a+1/a=(5-2√6)+(5+2√6)=10

(√a)²+(1/√a)²=10

(√a-1/√a)²=√a²+1/√a²-2

(√a-1/√a)²=10-2

(√a-1/√a)²=8

√a-1/√a=±√8

Answer 2

Answer:

288/17 is the answer.

Step-by-step explanation:

a=5+2√6(after rationalization)

Now √5+2√6-1/√5+2√6=288/17.