Q9. If a and b are rational numbers and 4+√5/4-3√5=a+b√find the value of a and b.
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Answer:
4−3
5
=a+b
5
Multiplying by 4-3√5
(4-3√5)²/4²-(3√5)²
= 16+45-24√5/16-45
= 61-24√5/29
= 61/29 - 24/29√5 .
= a + b√5 .
So now a = 61/29 , b = -24/29
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