Question

find a and b 2 + 3√5 / 2 - 3√5 = a + b √5
pls answer​

Answer 1

Answer:

2+3√5/2-3√5

=(2+3√5)(2+3√5)/(2-3√5)(2+3√5)

={(2)^2+2.2.3√5+(3√5)^2/{(2)^2-(3√5)^2}

=(4+12√5+45)/(4-45)

=49+12√5/ -41

= -49/41+12/-41.√5

so, here a= -49/41

b= -12/41

Answer 2

Answer:

• a = - 49/41
• b = - 12/41

Step-by-step explanation:

• (2 + 3√5) /(2 - 3√5) = a + b √5
• (2 + 3√5)(2 + 3√5) /(2 - 3√5) (2 + 3√5) = a + b √5
• (2² + (3√5)² + 2*2*3√5) / (2² - (3√5)²) = a + b √5
• (4 + 45 + 12√5)/(4 - 45) = a + b √5
• (49 + 12√5) / -41 = a + b√5
• -49/41 - 12√5 / 41 = a + b√5
• a = - 49/41
• b = - 12/41