Answer:
[tex]5\sqrt{8}[/tex]
[tex]24\sqrt{3}[/tex]
Step-by-step explanation:
To simplify the square roots, break the number under the square root into factors. Any factors which are perfect squares may be simplified to outside the square root.
[tex]\sqrt{200}=\sqrt{25*8} =\sqrt{25}*\sqrt{8}= 5*\sqrt{8} =5\sqrt{8}[/tex]
and
[tex]4\sqrt{108}=4\sqrt{27*4} =4*\sqrt{27}*\sqrt{4}=4* \sqrt{9} *\sqrt{4}*\sqrt{3} =4*3*2*\sqrt{3}=24\sqrt{3}[/tex]
