Question

find the value of a and b

Answer 1

a = 0 and b= 1
just cross multiply it

Answer 2

ʜᴇʟʟᴏ ᴍᴀᴛᴇ!

$\frac{7 + \sqrt{5} }{7 - \sqrt{5} } \times \frac{7 + \sqrt{5} }{7 + \sqrt{5} } = \frac{ {(7 + \sqrt{5}) }^{2} }{49 - 5} \\ = \frac{49 + 25 + 14 \sqrt{5} }{44} = \frac{74 + 14 \sqrt{25} }{44} \\ \\ \frac{7 - \sqrt{5} }{7 + \sqrt{5} } \times \frac{7 - \sqrt{5} }{7 - \sqrt{5} } = \frac{ {(7 - \sqrt{5} )}^{2} }{49 - 5} \\ = \frac{49 + 25 - 14 \sqrt{5} }{44} = \frac{74 - 14 \sqrt{5} }{44} \\ \\ \frac{74 + 14 \sqrt{5} - 74 + 14 \sqrt{5} }{44} \\ = \frac{28 \sqrt{5} }{44} = \frac{7 \sqrt{5} }{11} \\ \\ 0 + \frac{7 \sqrt{5} }{11} = a + \frac{7 \sqrt{5} }{11 } b$

So, a = 0 and b = 1

Hope it helps