Question

4+2 root5/4‐3root5=a+b root5 find the value of a and b​

Answer 1

Question

4+2 root5/4‐3root5=a+b root5 find the value of a and b​

Answer: a = - 61/29  and b = - 24 / 29

solution

⇒ 4 + 3√5 / 4 - 3√5

⇒ 4 + 3√5 / 4 - 3√5 × 4 + 3√5 / 4 + 3√5

⇒ [ (4)² + 2 (4) (3√5) + (3√5)² ] / (4)² - (3√5)²

⇒ ( 16 + 45 + 24√5 ) / 16 - 45

⇒ ( 61 + 24√5 ) / - 29

⇒ - 61 / 29 -24 / 29 × √5

∴ a = - 61/29  and b = - 24 / 29