# Simplify the Radical Equations

Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify.

Consider participating in the discussion by simplifying your classmates' expressions. Detail what would have happened or if the expression was not simplified first.

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#### Solution Preview

Hi, here is the solution....

When we simplify the radical expressions, we can add with the like terms.

For instance.

Sqrt(x^2) + 2x

Now can we add the terms? Ofcourse NO!

Now let's simplify the radical term sqrt(x^2)

sqrt(x^2) = (x^2)^1/2 = x

sqrt(x^2) + 2x

= x + 2x [Simplified]

Now can we add x and 2x?

Of course! We can add them since it is like term.

So we get x+2x = 3x. It ...

#### Solution Summary

This solution provides step-by-step examples of calculations to demonstrate each rule for radical equations.