Question

find the value of A and B if 5 + root 3 / 7 minus 4 root 3 equals to 94 a + 3 root 3b

Answer 1

Hlw mate


5+√3/(7-4√3)

→ 5+√3/7-4√3 × 7+4√3/7+4√3

→ (5+√3)(7+4√3)/(7-4√3)(7+4√3)

→ 5(7+4√3)+√3(7+4√3)/{7²-(4√3)²}

→ 35+20√3+7√3+4(3)/(49-16(3))

→ 35+20√3+7√3+12/(49-48)

→ 47+27√3/1

→ 47+27√3 = 47a+√3b

Therefore,by comparing we can say that

a = 1 and b = 27


Hope it helpful