book Maths Puzzle Numerical Ability

I need to Simplify and express in simplest radical form.

How would I simplify

(square root of 2 -3)(square root of 2 + 3)
Would I multiply to get

4 square root of -9

which would be

4 * -3

Answer -12

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book Other Question

how do you simplify a square root such as 3(square root sign)24??? i am not sure how to do a problem like this, if you could break it down and explain to me how to do problems like this example i would be greatful. than you for your time. Phil and Phyllis are siblings. Phyllis has twice as many brothers as she has sisters. Phil has the same number of brothers as sisters. How many girls and how many boys are in the family?
I dont even know where to start with this one.