Question

Find a and be if 7+3√5/2+√5 - 7-3√5/3-√5 = a + b√5

Answer 1

Answer:

a=2 and b=1

Step-by-step explanation:

(7-3rt5)/(2+rt5)-(7-3rt5)/(3-rt5)=a+brt5

or,(6-2rt5+1-rt5)/(1+rt5)

or,(7-rt5)/ (1+rt5)

or,(7-rt5)(rt5+1)/(rt5+1)(rt5-1)

or,(8+4rt5)/4

or,(2+rt5)=a+brt5.....

after compairing both the equations,we get:

a=2 and b=1