Which expression can be written as
[tex]k \sqrt{3} [/tex]where k is an integer?

a.
[tex] \sqrt{63} [/tex]

b.
[tex] \sqrt{108} [/tex]

c.
[tex] \sqrt{144} [/tex]

d.
[tex] \sqrt{150} [/tex]

Respuesta :

Answer:

B. [tex] \sqrt{108} [/tex]

Step-by-step explanation:

The simplified forms of these roots are :

A. [tex] \sqrt{63} [/tex] = [tex]3 \sqrt{7} [/tex]

B. [tex] \sqrt{108} [/tex] = [tex]6 \sqrt{3} [/tex]

C. [tex] \sqrt{144} [/tex] = [tex]3 \sqrt{286} [/tex]

D. [tex] \sqrt{150} [/tex] = [tex]5 \sqrt{6} [/tex]

Check:

[tex] \sqrt{108} [/tex]

[tex] \sqrt{36(3)} [/tex]

[tex] \sqrt{ {6}^{2} \times 3} [/tex]

[tex]6 \sqrt{3} [/tex]

Hope it is helpful...