If find the values of a and b.

Given, = a+b√6

Need to find the value of a and b

⇒ Now, we can find by rationalizing the denominator

⇒ Since, we know to rationalize the denominator of we must multiply the number with its denominator as follows

⇒ ×

=

∵ we know that numerator is in the form of (a+b)² = a²+2ab+b²

And denominator in the form of a²–b² = (a+b)(a–b)

⇒

=

= +

∴ a = and b =