Math, asked by dananya123, 1 year ago

Plz solve these..a little fast plz...

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Answered by Anonymous
0
Hello dear !
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Here ,
Question -  \frac{5+ \sqrt{3} }{7-4 \sqrt{3} } = 47a - 3 \sqrt{b}
Find = a and b 
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Rationalize the denominator

 \frac{5+ \sqrt{3} }{7-4 \sqrt{3} }

\frac{5+ \sqrt{3} }{7-4 \sqrt{3} } X  \frac{7+4 \sqrt{3} }{7+4 \sqrt{3} }

 \frac{35 +20 \sqrt{3}+7 \sqrt{3}+12  }{7^2 -(4 \sqrt{3})^2 }

 \frac{47 + 27 \sqrt{3} }{49-48}

 \frac{47 + 27\sqrt{3} }

47 X 1/9 + 3 √3 = 47 a - 3√b 

 a = 1/9 b = 3 
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Anonymous: yep got it ?
dananya123: Not yet
dananya123: But why divide 9
Anonymous: OH any problem then ask me :)
Anonymous: because on the right side there is 3 √3 not 27√3
Anonymous: so we have to divide it by 9
Anonymous: so 3√b
dananya123: Now i understood.
dananya123: Thank u very much
Anonymous: no probs dear :)
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