Question 100682
<pre>
Good Evening Tutor, 

I have two questions I was wondering if you could tell me if I got them correct?  

1.)  Evaluate if possible:   cubed(3) sqrt of -8/27  I got - 1/6 is this correct?  

2.)  simplify by combining like terms.  sqrt of 63 - 2 sqrt of 28 + 5 sqrt of 7.  

I got 7 sqrt of 7 I think this is wrong but I am not sure where I am getting messed up I keep getting the same answer.  

Any help is appreciated.  Thank you.  

If 1.) is {{{root (3, (- 8/27))}}}, then it's {{{root (3, (- (2)^3/(3^3)))}}} = {{{- 2/3}}}
If it's {{{root (3, sqrt(- 8/27))}}}, then it's {{{((- 8/27)^(1/2))^(1/3)}}} = {{{((- 8/27)^(1/3))^(1/2))}}} = {{{(- 2/3)^(1/2)}}} = {{{sqrt(- 2/3)}}} = {{{sqrt(- 1 * (2/3))}}} = {{{sqrt(2/3)i}}} = {{{(sqrt(6)/3)i}}}
OR
Is it {{{(sqrt(- 8/27))^3}}}?</pre>