if 5+2underoot3/7+4under root3=a+b under root 3 them find a and b
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Answer:
Step-by-step explanation:
(5+2√3)/(7+4√3)
=(5+2√3)(7-4√3)/(7+4√3)(7-4√3)
=35-20√3+14√3-8√3√3)/(7²-3)
=(35-3-6√3)/(49-3)
=(32-6√3)/46
=32/46-6/46*√3
=16/23-3/23*√3=a+b√3
on comparison we get
a=16/23 and b=-3/23
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