No, your answer are wrong (I assume that the question asks to simplify the roots). You can only remove (their square is placed in from of the root and multiplied by it) the numbers from the root that are squares, the lest must stay, like this:
[tex] \sqrt{14} = \sqrt{2*7} , [/tex] no roots are among the factors, nothing can be removed
[tex] \sqrt{14} = \sqrt{2*7} , [/tex] nothing can be removed
[tex] -\sqrt{39} = -\sqrt{3*13} [/tex]nothing can be removed
[tex] -\sqrt{56} = -\sqrt{2*2*2*7}=-2\sqrt{14} , [/tex]
[tex] -\sqrt{77} = -\sqrt{11*7} , [/tex]nothing can be removed
[tex] \sqrt{41} = \sqrt{41} , [/tex]nothing can be removed
[tex] \sqrt{21} = \sqrt{3*7} , [/tex] nothing can be removed
[tex]- \sqrt{65} = -\sqrt{5*13} , [/tex] nothing can be removed
[tex] -\sqrt{12} = -\sqrt{2*3*4} =-2\sqrt{4}, [/tex]
[tex] \sqrt{13} = \sqrt{13} , [/tex] nothing can be removed
[tex] \sqrt{32} = \sqrt{4*4*2} =4\sqrt{2}, [/tex]
[tex] \sqrt{47} = \sqrt{47} , [/tex] (47 is prime) nothing can be removed
[tex] -\sqrt{99} = -\sqrt{9*11}= -3\sqrt{11} , [/tex]
