Question

please give the full answer with explanation

Answer 1

Step-by-step explanation:

1. a²=(√5+√2/√5-√2)²

5+2+2√10/5+2+2√10

7+2√10/7+2√10

a²=1

b²=(√5-√2/√5+√2)²

=5+2+2√10/5+2+2√10

=7+ 2√10/ 7+2√10

b²=1

ab= (√5+√2/√5-√2)(√5-√2/√5+√2)

ab=1

a²+ab+b²/a²-ab+b²

1+1+1/1-1+1

3/1

3

2. p²=(√7-√6/√7+√6)²

=( 7+6+2√42/7+6+2√42)

=(13+2√42/13+2√42)

p²= 1

q=1/p

q²=1/p²

q²=1/1

q²=1

pq= (√7-√6/√7+√6)(√7+√6/√7-√6)

pq =1

1 +1+1

3