Respuesta :

Answer:

the answer is 3/15

Step-by-step explanation:

the square root of 9 is 3 and the square root of 225 is 15

Answer:

C. 3/15

Step-by-step explanation:

Given expression,

[tex]\sqrt{\frac{9}{225}}[/tex]

[tex]=\frac{\sqrt{9}}{\sqrt{225}}[/tex]

[tex]=\frac{(3^2)^\frac{1}{2}}{(15^2)^\frac{1}{2}}[/tex]

[tex]=\frac{3^{2\times \frac{1}{2}}}{15^{2\times \frac{1}{2}}}[/tex]

[tex](\because (a^m)^n=a^{mn})[/tex]

[tex]=\frac{3^1}{15^1}[/tex]

[tex]=\frac{3}{15}[/tex]

Hence, OPTION C is correct.