I don't know if this is right.

directions: Simplify each radical expression.

(radical 3+5)(radical 3-3)

i think its:

radical 3+2

Life would be so much simpler if you would use parenthesis. Did you mean this?

(sqrt3 + 5)(sqrt3 -3) ?

multiply that out
sqrt3*sqrt3 -3sqrt3 +5sqrt3 -15
now combine and simplify terms.

To simplify the expression (sqrt(3+5))(sqrt(3-3)), you are correct in using parentheses to indicate the order of operations. However, there seems to be a mistake in your expression. Let's break it down step by step.

(sqrt(3+5))(sqrt(3-3))

First, let's simplify the expressions inside the square roots individually:

sqrt(3+5) becomes sqrt(8)
sqrt(3-3) becomes sqrt(0)

Now we have:

(sqrt(8))(sqrt(0))

The square root of 0 is 0, so we can simplify further:

(sqrt(8))(0)

Any number multiplied by 0 is 0, so the simplified expression is:

0

Therefore, the final answer to (sqrt(3+5))(sqrt(3-3)) is 0.