Respuesta :

The answer is a. 4x15=60 and 2^2=4 so we get 2x/sqrt(15)

Answer:

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

Step-by-step explanation:

1) rewrite 60 as it's prime factors.

[tex] \sqrt{2 \times 2 \times 3 \times } 5[/tex]

2) group the smae prime factors into pairs.

[tex] \sqrt{(2 \times 2)} \times 3 \times 5[/tex]

3) Rewrite each pair in exponent form.

[tex] \sqrt{ {2}^{2} \times 3 \times 5 } [/tex]

4) use this role:

[tex] \sqrt{ {x}^{2} } = x[/tex]

[tex]2 \sqrt{3 \times 5} [/tex]

5) Simplify.

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

So, therefor, the answer is option 1.