Answer:
[tex]\sqrt{2}\cdot \sqrt{200}=20\\\sqrt{25}+\sqrt{4}=7[/tex]
Step-by-step explanation:
[tex]200=2\times100=2\times10\times10\\200=2\times10^2\\\sqrt{200}=\sqrt{2\times10^2}=\sqrt{2}\times\sqrt{10^2} \\=10\sqrt{2} \\\\\sqrt{2}\cdot \sqrt{200}=(\sqrt{2})\cdot(10\sqrt{2})\\=10\cdot(\sqrt{2}\times\sqrt{2})\\=10\cdot2\\=20[/tex]
[tex]25=5\times5=5^2\\\sqrt{25}=\sqrt{5^2}=5\\4=2\times2=2^2\\\sqrt{4}=\sqrt{2^2}=2\\\sqrt{25}+\sqrt{4}=5+2=7[/tex]
