Question

Find the value of p and q, if 5 + √7

5 − √7​

Answer 1

Answer:

Step-by-step explanation:

P=√7-√5/√7+√5

Rationalize

P=(√7-√5)^2/(√7)^2-(√5)^2

P=7-2√35+5/7-5

P=12-2√35/2

P=6-√35..1

Q=√7+√5/√7-√5

Rationalize

Q=(√7+√5)^2/(√7)^2-(√5)^2

Q=7+2√35+5/7-5

Q=12+2√35/2

Q=6+√35..2

P^2+Q^2=(6+√35)^2+(6-√35)^2

P^2+Q^2=36+12√35+35+36-13√35+35

P^2+Q^2=142

I hope this may helps you! :)