Rationalize the denominator and simplify:
a+sqrt b/sqrt b
To rationalize the denominator and simplify the expression (a + sqrt(b)) / sqrt(b), we can multiply both the numerator and denominator by the conjugate of the denominator, which is also sqrt(b).
(a + sqrt(b)) / sqrt(b) * sqrt(b) / sqrt(b)
= (a*sqrt(b) + b) / b
= a*sqrt(b)/b + b/b
= a/b * sqrt(b) + 1.
Therefore, the simplified form of the expression is: a/b * sqrt(b) + 1.