Respuesta :

Answer:

[tex]4\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{160}[/tex]

[tex]\sqrt{16 * 10}[/tex]

[tex]4\sqrt{10}[/tex]

because 16 is a perfect square root and it splits into 4 * 4 while 10 isnt a perfect square root so it stays inside.

Answer:

4[tex]\sqrt{10}\\[/tex]

Step-by-step explanation:

To reduce a radical of a square root, you want to find a perfect square that multiplies into that number. 16 is a perfect square (of 4) and can be divided into 160. so [tex]\sqrt{160\\}[/tex] becomes [tex]\sqrt{16}[/tex] x  [tex]\sqrt{10}[/tex] (because 16 x 10 = 160) then we simplify the square root of 16 to be 4. We leave the square root of 10 because it cannot be simplified.

Hope this helps!

:)