Question

find a and b pls give step by step explanation whi answers step by step i will mark him as brainalist.​

Answer 1

Step-by-step explanation:

$\frac{7 + \sqrt{5} }{7 - \sqrt{5} } - \frac{7 - \sqrt{5} }{7 + \sqrt{5} } = a + \frac{7 \sqrt{5} }{11}b$

Taking lcm,

$\frac{(7 + \sqrt{5})^{2} - (7 - \sqrt{5})^{2} }{(7 - \sqrt{5})(7 + \sqrt{5}) } = a + \frac{7 \sqrt{5} }{11}b$

We know that (a+b)²-(a-b)²=4ab,

so,

$\frac{28 \sqrt{5} }{ ({7})^{2} - {( \sqrt{5}) }^{2} } = a + \frac{7 \sqrt{5} }{11}b$

$\frac{28 \sqrt{5} }{44} = \frac{7 \sqrt{5} }{11} = a + \frac{7 \sqrt{5} }{11}b$

On comparing, we get,

$a = 0 \: \: and \: \: b = 1$

Hope this will help you