what is
radical 2 + 2radical 6
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To simplify the expression "radical 2 + 2radical 6", we can start by simplifying the individual radicals separately.
First, let's simplify radical 2. We need to find the largest perfect square that is a factor of 2. Since 2 is a prime number, it does not have any perfect square factors. Therefore, radical 2 cannot be simplified further.
Next, let's simplify 2 radical 6. Similar to before, we need to find the largest perfect square that is a factor of 6. The largest perfect square that divides 6 is 3, so we can rewrite 2 radical 6 as 2 radical (3 * 2). Simplifying further, we get 2 radical 3 * radical 2.
Now, we can combine radical 2 and radical 3 by adding them. However, they are not like terms, so we cannot simplify it further.
Therefore, the final simplified expression is "radical 2 + 2 radical 6" or "radical 2 + 2 radical 3 * radical 2".
If you need a decimal approximation of this expression, you can plug the number values into a calculator to get the result. Note that the radicals will be approximations since they are irrational numbers.