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4+3√5 / 4-3√5=a+b√5
4+3√5*4+3√5 / 4-3√5*4+3√5
[ therefore,
4+3√5*4+3√5= (a+b)*(a+b)
4-3√5*4+3√5=(a-b)*(a+b). ]
16+24√5+45 / 16-45
61+24√5 / -29
a= -61/29
b= -24/29
4+3√5*4+3√5 / 4-3√5*4+3√5
[ therefore,
4+3√5*4+3√5= (a+b)*(a+b)
4-3√5*4+3√5=(a-b)*(a+b). ]
16+24√5+45 / 16-45
61+24√5 / -29
a= -61/29
b= -24/29
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