Question

5+2 root 3 upon 7+4 root 3 = a+b root 3

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Answer 1

Step-by-step explanation:

Lhs = (5+2√3)/(7+4√3)

= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]

=[35-20√3+14√3-24]/[7²-(4√3)²]

=[11-6√3]/[49-48]

=11-6√3

therefore

11-6√3 = a+b√3

compare both sides

a= 11, b= -6

Answer 2

Answer:

a=11 and B=6

Step-by-step explanation:

5+2root3/7+4root3*7-4root3/7-4root3=a+broot3

35-20root3+14root3-24/49-48=11-6root3