Question

If you responded "True" to Question 3, explain why using words and/or math to explain why the radical expressions can be combined.If you responded "False" to Question 3, explain why using words and/or math to explain why the radical expressions cannot be combined.

Answer 1

Combine Like Terms ... Explain why you should simplify each radical in a radical expression before ... State whether each sentence is true or false.

58 pages

Step-by-step explanation:

Answer 2

Answer:

False

Because the radicals are not like terms

Step-by-step explanation:

The radical expressions are:

`\sqrt[]{2}\text{ and }\sqrt[]{12}`

Note that only like radicals can be combined using addition or subtraction

For examples:

`a\sqrt[]{b}+c\sqrt[]{b}=(a+c)\sqrt[]{b}`

The addition is possible because the same term (b) is inside the root

operator

`\begin{gathered} \text{For }\sqrt[]{2}\text{ and }\sqrt[]{12} \\ \sqrt[]{12}=\sqrt[]{4*3}=2\sqrt[]{3} \\ \sqrt[]{2}\pm\sqrt[]{12}=\sqrt[]{2}\pm2\sqrt[]{3} \end{gathered}`

Since the numbers under the roots are not the same, the radicals are not line radicals, hence cannot be combined by addition or subtraction