Facing A Problem

When I first tried to solve this problem I kept making small mistakes and never ended up getting the correct answer. This question may look very easy but when there’s a lot of small details it’s easy to mess up. The first time I encountered this problem I multiplied the the first radical by 3 to match the second one, but this is a mistake because I didn’t think of the of how a square root has a two in front of it, therefor both radicals would both have to be multiplied by the least common multiple between 2 and 3 which is 6. My second mistake was not multiplying the exponent inside the radical, I thought just multiplying the number outside the radical was the correct way to do it. After a lot of trial and error I figured out the equation, I also read the book about this chapter and it truly helped me understand the rules of solving this equation. After I solved this question correctly to make sure I understood the concept, I did a lot of similar questions in the workbook.

The main skill I used to solve this problem is Critical Thinking. I think Critical Thinking is generally really important when it comes to math because you will encounter a lot of problems, and have to use your thinking skills to try to think of new ways to get through the equation. When tried this problem as I said I made a lot of mistakes but from my mistakes I slowly realized where I was going wrong and what I was doing right which led me to get the correct answer.

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