Final answer:
To compute √(45/7) * √(63/125), simplify the square roots individually, then multiply the simplified square roots together. The final answer is 3/5.
Step-by-step explanation:
To compute √(45/7) * √(63/125), we first simplify the square roots individually. √(45/7) simplifies to (3√5)/√7, and √(63/125) simplifies to (√7)/5√5. Next, we multiply the simplified square roots together. ((3√5)/√7) * ((√7)/5√5) = (3√5*√7)/5(√7*√5). Simplifying further, we get (3√35)/5(√35). Now, we can cancel out the common factors and get the final answer as 3/5.