2+3√3/4-5√3=a+b√3 a=?,b=?

1.	2+3√3/4-5√3=a+b√3 a=?,b=?
Answer» ANSWER: 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»

ANSWER:

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

Discussion

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2+3√3/4-5√3=a+b√3 a=?,b=?​

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

Discussion

No Comment Found

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2+3√3/4-5√3=a+b√3 a=?,b=?