1.

5×2√3/7+4√3 =a+b√3 find the value of a and b

Answer» HEY friend,
Here is the answer you were LOOKING for:
\frac{5 \times 2 \sqrt{3} }{7 + 4 \sqrt{3} } = a + b \sqrt{3} \\ \\ solve \\ on \: rationalizing \: we \: get \\ \\ \frac{10 \sqrt{3} }{7 + 4 \sqrt{3} } \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} } \\ \\ = \frac{10 \sqrt{3} \times 7 - 10 \sqrt{3} \times 4 \sqrt{3} }{ {(7)}^{2} - (4 \sqrt{3})^{2}} \\ \\ = \frac{70 \sqrt{3} - 120}{4 9- 48} \\ \\ = 70 \sqrt{3} - 120 \\ \\ - 120 + 70 \sqrt{3} = a + b \sqrt{3} \\ \\ a = - 120 \\ b = 70

Hope this HELPS!!!!

@Mahak24

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