what is the following difference 11 sqrt 45 - 4 sqrt 5

Answer:29*sqrt(5)Step-by-step explanation:Start with sqrt (45). You must reduce it to it's prime factors.45: 9 * 5            9 is not prime so reduce it.45: 3 * 3 * 5   When you write √45, you should replace it with √(3*3*5)The rule is Rule: when you have a pair of equal prime factors under a root sign, you can take one out and throw one away. Rule 2: If there are an odd number of equal primes one of them will be left underneath the root sign.√45 = 3√511sqrt(45) - 4 sqrt(5)              Substitute for 45 11*3*sqrt(5) - 4sqrt(5)            Take out sqrt(5) using the distributive property.(11*3 - 4)*sqrt(5)                      Combine 11 * 3   (33- 4) * sqrt(5)                       Do the subtraction29 * sqrt(5)                             Answer