If find the values of a and b.

Given, = a+b√3

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

⇒ ×

=

=

=

=

=

=

=

= 7+4√ 3

∴ 7+4√3 = a+b√3

Hence, the value of a = 7 and b = 4