Answer:
Step-by-step explanation:
[tex]1) (\sqrt{2})^{2}= \sqrt{2}* \sqrt{2}= \sqrt{2*2}=2\\\\\\2) \sqrt{100}= \sqrt{2*2*5*5}=2*5=10\\\\\\3) \sqrt{50}= \sqrt{2*5*5}=5 \sqrt{2}\\\\\\4) \sqrt{a^{3}*b^{4}*c^{5}}= \sqrt{a*a*a*b*b*b*b*c*c*c*c*c}=a*b*b*c*c \sqrt{a*c}=ab^{2}c^{2} \sqrt{ac}\\\\\\5) \sqrt{12x^{6}y^{2}z^{7}}= \sqrt{2*2*3*x*x*x*x*x*x*y*y*z*z*z*z*z*z*z}=2*x*x*x*y*z*z*z \sqrt{3z}=2x^{3}yz^{3} \sqrt{3z}[/tex]
