Posted by **Jasmine20** on Friday, January 26, 2007 at 3:47am.

Directions are simplify by combining like terms.

x radiacal 18 -3 radical 8x^2

can someone show me how to do these types of problems. thanks

I cant determine the second term. For the first, I think you meant

x sqrt(18) which reduces to

x sqrt (9*3) or

3x sqrt 3

First remove squares from under the radical sign

x sqrt(18) = x sqrt (9*2) = 3x sqrt 2

and

3 sqrt(8x^2) = 3 sqrt (4*2*x^2)

= 6x sqrt 2

Now combine terms.

x sqrt(18) - 3 sqrt(8x^2)

= sqrt 2*(3x - 6x) = -3x sqrt 2

You can get other possible answers by using the negative square roots. For example

x sqrt(18) = x sqrt (9*2)

= (+ or -) 3x sqrt 2