Question

find the value of a and b
5+root3/root5-root3=1/2 a +3b root5​

Answer 1

Step-by-step explanation:

( 5 + √3 )/ (√5 - √3 ) = a/2 + 3b√5

Rationalising ,

(5 + √3)( √5 + √3 ) / ( 5 - 3 )

» ( 5√5 + √15 + 5√3 + 9 ) / 2

Therefore , ( 5√5 + √15 + 5√3 ) / 2 + ( 9 / 2 ) = a/2 + 3b√5

a = ( 5√5 + √15 + 5√3 ) / 2

b = ( 3√5 / 10 )