Question

3 - root 3 pon 7 + 4 root 3 is equal to a + b root 3

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\frac{3 - \sqrt{3} }{7 + 4 \sqrt{3} } \times \frac{7 - 4 \sqrt{3}}{7 - 4 \sqrt{3}} \\ = \frac{21 - 12 \sqrt{3} - 7 \sqrt{3} + 12}{ {7}^{2} - {(4 \sqrt{3} )}^{2} } \\ = \frac{33 - 19 \sqrt{3} }{49 - 48} \\ = 33 - 19 \sqrt{3}$

So on comparing

a = 33 and b = - 19