Question

if p+q=√3 and p-q=√5 then pq=?​

Answer 1

Answer:

p+q=√3 — 1

p-q=√5

————–

2p = (√3+√5)

p = (√3+√5)/2

pit value in 1

(√3+√5)/2 + q = √3

(√3+√5)+2q = 2√3

2q = 2√3-√3-√5

2q = √3-√5

q = (√3-√5)/2

pq = (√3+√5)/2 × (√3-√5)/2

pq = (√3)²-(√5)²/4

pq = (3-5)/4

pq = -2/4

pq = -1/2

Answer 2

Answer:

-1/2

$p = \binom{ \sqrt{3} + \sqrt{5} }{2}$

$q = \binom{ \sqrt{3} - \sqrt{5} }{2}$

pq= 3-5/4

-2/4 =-1/2