To simplify the expression 4/√11 + 3, we need to rationalize the denominator.
To do this, we multiply the numerator and denominator by the conjugate of √11, which is also √11.
So, we have:
(4/√11 + 3) * (√11/√11)
Multiplying the numerators and denominators, we get:
(4√11 + 3√11) / (√11 * √11)
Simplifying the numerator, we get:
7√11 / 11
So, the simplified expression is:
7√11 / 11
