"Published in Newark, California, USA"
Perform the indicated operations
Solution:
Consider the given equation above
The first thing that we have to do is to examine the radicals first if they can simplify or not. As a rule in Mathematics, all radicals must be simplified as much as we can.
At the first term, 45 is not a perfect square. The factors of 45 are 9 and 5. 9 is a perfect square. x3 is not a perfect square. We can factor x3 into x2 and x.
At the second term, 80 is not a perfect square. The factors of 80 are 16 and 5. 16 is a perfect square.
At the third term, 180 is not a perfect square. The factors of 180 are 36 and 5. 36 is a perfect square. x3 is not a perfect square. We can factor x3 into x2 and x.
Hence, the given equation above becomes
Take the square root of the numbers inside the radicals that are perfect square, we have
Since all the terms inside the radicals are the same, then we can combine them and therefore, the final answer is
