find the value of a and b in 5+√3/7-4√3 =a+√3b
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sanjay338:
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# Ur Ans
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using rationalising the denominator method
==> 5+ √3/7-4√3 × 7+4√3 / 7+4√3
==> (5+√3) (7+4√3) / 7^2 - (4√3)^2
==> 35+20√3+7√3+12 / 49 - 48
==> 47 + 27√3 = a +b√3
compare a & b
we get
==> a = 47 , b = 27 Ans
☺✌
____________
using rationalising the denominator method
==> 5+ √3/7-4√3 × 7+4√3 / 7+4√3
==> (5+√3) (7+4√3) / 7^2 - (4√3)^2
==> 35+20√3+7√3+12 / 49 - 48
==> 47 + 27√3 = a +b√3
compare a & b
we get
==> a = 47 , b = 27 Ans
☺✌
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