The answer you are looking for is 2√5, which is the same thing as √20.
Solution/Explanation:
Writing out the problem first
√45-√5
Testing different values to try to get the square root to be 5
Testing 2:
Take 2
Square it
2²=4
Divide 45 by 4
Nope, this will not work. It will not have a √5, and the base will not be a whole number. Now, let's try 3.
Take 3
Square it
3²=9
Divide 45 by 9, which is 5. For extra checking, you can multiply 9 by 5, which is 45, just to make sure that you calculated everything correctly.
Three works. So, now, we can have 3 as the base and 5 as the square root.
So, now, we can formulate a more simplified problem:
3√5-√5
To make it more easy to simplify more, we can write it out like this:
3√5-1√5
Subtract the bases 3 and 1. You will get 2. The √5 will remain the same.
2√5
So, therefore, the final answer to this problem is 2√5.
Hope this helped answer your question for you. Good day to you.