Final answer:
To rationalize the denominator and simplify the expression √ab√a-√b, multiply both numerator and denominator by the conjugate of the denominator and simplify the expression.
Step-by-step explanation:
To rationalize the denominator and simplify the expression √ab√a-√b, we need to eliminate the square roots in the denominator. We can do this by multiplying both the numerator and denominator by the conjugate of the denominator. The conjugate of the expression √a-√b is √a+√b. So, multiplying both the numerator and denominator by √a+√b, we get:
(√ab√a-√b)(√a+√b)
Simplifying this expression by using the distributive property and combining like terms, we obtain:
√a^2b+√ab^2-a√ab-b
This is the rationalized and simplified form of the given expression.