(5+root3)(7+4root3)/(7-4root3)(7+4root3)
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Step-by-step explanation:
(5+root3)(7+4root3) / (7-4root3)(7+4root3)
=(5+root3)(7+4root3) / (7-4root3((7+4root3)
( since multiply the numerator
terms and denominator terms)
=5(7+4root3)+root3(7+4root3) / (7-4root3)(7+4root3)
=(5×7+5×4root3)+root3×7+root3×4root3)
=35+20root3+7root3+12 / 7×7-4root3×4root3
=35+12+20root3+7root3 / 49-48
=47+20root3+7root3 / 1
=47+27root3
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