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