If a and b are rational numbers and √11−√7√11+√7=a−b√77, find the values of a and b.

If a and b are rational numbers and √11−√7√11+√7=a−b√77,

1.	If a and b are rational numbers and √11−√7√11+√7=a−b√77, find the values of a and b.
Answer» If a and b are rational numbers and $\frac{\sqrt{11} - \sqrt{7}}{\sqrt{11} + \sqrt{7}} = a - b \sqrt{77},$ find the values of a and b.