find rational value of a and b: 5+2root3/7+4root3=a+b root3
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Answered by
5
Hey!!!!
_________
=> a = 11
and
=> b = - 6
Refer to the attachment
_________
Hope this helps ✌️
_________
=> a = 11
and
=> b = - 6
Refer to the attachment
_________
Hope this helps ✌️
Attachments:
Answered by
4
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
= [(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
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