Algebra I radical help!?

Question

I have summer work for geometry honors and I dont remember how to do the radical part.

Like, for example: 3/(radical) 48.

or: (radical) 10p^3/(radical)27.

and: (radical) 56a^2b^4c^5.

Thanks, I really just need a overall understanding. I dont have any textbooks for guidance, and I really need to get this done.

Thanks!!! :))

Answer 1

I believe a radical is a square root or another root of whatever power given?  Correct me, if I'm wrong.  By entering into your calculator, 3, then divide, then parentheses, then sqrt symbol, then 48, close parentheses.  You should get the answer for the first example.  You can download algebra help software from this site.  http://www.algebra-help.com/x2-math-radi...

Answer 2

For your first example you should factor the number under the radical:

3/(radical) (4*6)

Since the 4 under the radical is a perfect square that part can the "solved" and the expression simplified to

3/(2*(radical6))

For example 2:

Factor the top part of the equation: (radical) 10*p^2*p

p^2 is a perfect square and it can be simplified to the outside of the radical:

p*(radical of (10p))

Now factor the bottom to be 3*9.  9 is a perfect square and can be simplified out to: 3 (radical3)

So the final equation simplified is:

p* (radical of 10p)

-----------------------

3 * (radical of 3)

Third:

Factor the entire equation and simplify out the perfect squares:

radical (4*14*a^2*b^2*b^2*c^2*c^2*c)

2abbcc*radical(14c)

2a*b^2*c^2*radical(14c)