Math, asked by suhanigupta2112, 7 months ago

find the value of a and b in 5+2underroot 3/7+ 4underroot 3 = a+b underroot 3

Answers

Answered by Dharun86
0

Answer:

a= 11, b= -6

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

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