How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify.

Radical expressions are similar to adding polynomial expressions because you have a multiple of something to combine. For instance, 3*x really means you have 3 x's to add up x + x + x = 3*x same for 2*x. Therefore there is a total of 5 x's to add up or simply write 5*x. Same concept applies to radical expressions you have a multiple of something to add up.

How it is different, I'm not sure.

Adding radical expressions is similar to adding polynomial expressions in that both involve combining like terms.

To add radical expressions, you need to first simplify the radicals by finding the largest perfect square factor of each radical term. Then, you can combine like terms by adding or subtracting the coefficients in front of the radicals.

However, there are some differences between adding radical expressions and adding polynomial expressions:

1. Unlike polynomial expressions, radical expressions can have different indices. While polynomial expressions consist of terms with whole-number exponents, radical expressions can have square roots (index 2), cube roots (index 3), and so on.

2. Radical expressions also have restrictions on the domain. For example, if you have a square root, the radicand (the number under the radical sign) cannot be negative in order for the expression to be defined. These restrictions don't apply to polynomial expressions.

Here is a radical expression for you to simplify:

√7 + 3√5

To simplify this radical expression, first, identify any like terms. In this case, there are no like terms because the radicands (√7 and √5) are different.

The expression cannot be simplified any further, so the final answer would be √7 + 3√5.