Math, asked by skullbusters, 8 months ago

If a & b are rational number and 4+3√5/4-3√5=a+b√5 find the values of a & b​

Answers

Answered by Anonymous
1

Answer:

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

Step-by-step explanation:

(4+3√5 )/ (4-3√5)

(4+3√5 )(4+3√5 )/ (4-3√5)(4+3√5 )

=(16+45+24√5)/ ( 16-45)

=(61+24√5)/(-29) = a+b√5

or -61/29 - (24/29)√5 = a+b√5

On comparision we get

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

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