Respuesta :

Answer:

4√15

Step-by-step explanation:

Factor 240 into its prime factorization. 240 can be factored as 2 x 2 x 2 x 2 x 3 x 5.

Identify any perfect squares that can be factored out. In this case, we can see that 2 x 2 x 2 x 2 = 16, which is a perfect square.

Take the square root of the perfect square and put it outside the radical. So, √240 = √(16 x 15).

Simplify the expression by taking the square root of 15. √240 = 4√15.

The reduced form of √240 is 4√15.

Answer:

[tex]4\sqrt{15}[/tex] or [tex]\sqrt{16}\sqrt{15}[/tex]

Step-by-step explanation:

To do this, we can write the radical as [tex]\sqrt{60\cdot4}[/tex]

[tex]\sqrt{15\cdot 4\cdot4}[/tex]

[tex]2\cdot2\sqrt{15}[/tex]

[tex]4\sqrt{15}[/tex]