Question

if a+b=√5 and a-b=√3, then find
8ab(a^2 + b^2)​

Answer 1

Given :

• a + b = √5
• a - b = √3

To find :

• 8ab (a² + b²)

Solution :

Take both equation square

a² + b² = 5

a² - b² = 3

2a² = 8

a² = 8/2

a² = 4

a = √4

Putting a = √4

a + b √5

√4 + b = √5

taking square

4 + b² = 5

b² = 5 - 4

b² = 1

b = 1

Finding 8ab (a² + b²)

8 × √4 × 1 (√4² + 1)

16 + 4 + 1

21

Answer is 21.