Respuesta :

Answer:

Step-by-step explanation:

Prime factorize

[tex]15) \sqrt{900}=\sqrt{3*3*2*2*5*5}=3*2*5=30\\\\\\16) \sqrt{1000000}=\sqrt{10*10*10*10*10*10}=10*10*10=1000\\\\17\sqrt{2*98}=\sqrt{2*2*7*7}=2*7=14\\\\18)\sqrt{37+84}=\sqrt{121}=\sqrt{11*11}=11\\\\19)24+\sqrt{3600}=24+\sqrt{6*6*10*10}=24+(6*10)=24+60=84\\\\20) \sqrt{\frac{560}{140}}=\sqrt{4}=2\\\\21)\sqrt{500-419}=\sqrt{81}=\sqrt{9*9}=9[/tex]

[tex]22) \sqrt{6400}+37= \sqrt{8*8*10*10}+37=8*10 +37 = 80 + 37 = 117\\\\23)4\sqrt{81}=4*\sqrt{9*9}=4*9=36\\\\24)\sqrt{41+59}=\sqrt{100}=\sqrt{10*10}=10\\\\25)\sqrt{6400}=\sqrt{8*8*10*10}=8*10=80\\\\26)\sqrt{74-25}=\sqrt{49}=\sqrt{7*7}=7[/tex]