# Radicals

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Solve and check the following equation; Explain/demonstrate how you derived your answer.

Note: the radical sign extends over the expression 3x + 2.

â??3x+2 - 2â??x = 0

Answer the following questions;

Define a radical.

What happens to a solution if the radicand is negative?

Why do simplified radicals produce two solutions?

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##### Solution Summary

The expert notes radical signs extends over expressions.

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Ok, so you have the following equation:

Let's rewrite it in the following form:

Now we square both sides of the equation. Note please you have to make sure that both sides are positive (this will be checked later, you'll see).

or

Now we subtract 3x from both sides and get:

or

.

So we conclude that x=2. However we need to ...

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