Question

Need help with this question (in attachment)

Answer 1

$\huge\mathfrak{Hello♡}$

$\underline\mathfrak{Answer:-}$

$a = 8 \: \: \: \: b = 3$

$\underline\mathfrak{Explanation:-}$

$\frac{3 + \sqrt{7} }{3 - \sqrt{7} } = a + b \sqrt{7}$

$\frac{3 + \sqrt{7} }{3 - \sqrt{7} } \times \frac{3 + \sqrt{7} }{3 + \sqrt{7} }$

$\frac{( {3 + \sqrt{7} )}^{2} }{ {3 - (\sqrt{7} )}^{2} }$

$\frac{9 + 7 + 6 \sqrt{7} }{9 - 7}$

$\frac{16 + 6 \sqrt{7} }{2}$

$\frac{2(8 + 3 \sqrt{7} )}{2}$

$8 + 3 \sqrt{7}$

Hope this helps you

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