Question

0-3 Find
the value of a and b
√7+1/√7-1+√7-1/√7+1 =a-b√7
​

Answer 1

Step-by-step explanation:

$\frac{ \sqrt{7} + 1}{ \sqrt{7} - 1} + \frac{ \sqrt{7} - 1}{ \sqrt{7} + 1} = a + b \sqrt{7} = >$

$\frac{{( \sqrt{7} + 1)}^{2} + {( \sqrt{7} - 1)}^{2} }{( \sqrt{7} - 1)( \sqrt{7} + 1)} = a + b \sqrt{7} = >$

$\frac{7 + 1 + 2 \sqrt{7} +7 + 1 - 2 \sqrt{7} }{7 - 1} = a + b \sqrt{7} = >$

$\frac{16}{6} = a + b \sqrt{7} = > \frac{8}{3} = a + b \sqrt{7} = >$

a => 8/3 and b=>0. Hope it helps you.