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# Simplify the Radical Equations

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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.

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