Question

If a and b are rational
numbes 4+3 root 5,
4-3 root 5
find the values of a and
b.​

Answer 1

Answer:

Step-by-step explanation:4+3✓5 / 4+3✓5 = (4+3✓5)/(4-3✓5) ×(4+3✓3)/4+3✓5)

= (4+3✓5)²/ (4)² - (3✓5)²

= (4+3✓5)² / 16 - 45

= (4+3✓5)² / -29

= [(4)² + (3✓5)² + 2 × 4 × 3✓5) ] / -29

= 16+45+24✓5/-29

= 61+24✓5/-29

= (-61/29) + (-24/29) × ✓5

Therefore,

4+3✓5/ 4-3✓5 = a+b✓5 = (-61/29) + (-24/29) ✓3

Therefore,

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

HOPE IT WILL HELP YOU....