Respuesta :

Answer:

[tex]\sf 30\sqrt{2}[/tex]

Step-by-step explanation:

Prime factorize 1800

1800 = 18 * 100

         = 3 * 3 * 2 * 2 *2 * 5 * 5

For each number pair inside the root, take one outside the radical.

[tex]\sf \sqrt{1800}= \sqrt{3*3*2*2*2*5*5}[/tex]

           [tex]\sf = 3 * 2* 5*\sqrt{2}\\\\ = 30\sqrt{2}[/tex]