simplify and state restrictions on the variable

a)(4+squareroot2)(5-squareroot8)

b)2squareroot5+squareroot5

c)3squareroot7-5squareroot7

d)squareroot35/squareoot7

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- October 30th 2008, 06:05 AMwilliamevaluating radicals
simplify and state restrictions on the variable

a)(4+squareroot2)(5-squareroot8)

b)2squareroot5+squareroot5

c)3squareroot7-5squareroot7

d)squareroot35/squareoot7 - October 30th 2008, 06:57 AMsuperevilcube
1) I don't know how to make it pretty, so I hope this works: First foil it:

Now you need to simplify and

This is how I do it: Take sqrt(8) and break it into it's factors, so you have:

Make sense? So if you do that we have:

Now you can just simplify:

2) This one is a cinch:

Do you see why?

3) This is the same as 2.

4) You need to break sqrt(35) into it's factors:

Now we have:

The two sqrt(7)s just cancel out.