Respuesta :

Answer:6 or decimal 23.23790

Step-by-step explanation:

the prime factorization of 60: 2^2 * 3 * 5

=[tex]3\sqrt{2^{2} }[/tex]

Answer:

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

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{60}[/tex]

= [tex]\sqrt{4(15)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{15}[/tex] = 2[tex]\sqrt{15}[/tex] thus

3[tex]\sqrt{60}[/tex]

= 3 × 2[tex]\sqrt{15}[/tex]

= 6[tex]\sqrt{15}[/tex]