Respuesta :

hisroyal1
11√45 - 4√5

= 11√(9 * 5) - 4√5

= (11 · √9 · √5) - 4√5

= (11 · 3 · √5) - 4√5

= (11 * 3)√5 - 4√5

= 33√5 - 4√5

= (33-4)√5

= 29√5
pemanuel

Answer:

[tex]29\sqrt{5}.[/tex]

Step-by-step explanation:

The difference is

[tex]11\sqrt{45}-4\sqrt{5}[/tex]

To simplify let's try to covert [tex]\sqrt{45}[/tex] in terms of [tex]\sqrt{5}[/tex]:

45 = 9*5, then [tex]\sqrt{45} = \sqrt{9*5} = \sqrt{9}\sqrt{5} = 3\sqrt{5}[/tex]. So,

[tex]11\sqrt{45}-4\sqrt{5} = 11(3\sqrt{5})-4\sqrt{5} = 33\sqrt{5} -4\sqrt{5} = 29\sqrt{5}.[/tex]