Which choices are equivalent to the quotient below? Check all that apply √75/√15 A. 5 B. √25/√5 C. 15/3 D. √5 E. √3 F. √15/√3

Respuesta :

D. √5  
       
Let's first simplify the equation sqrt(75)/sqrt(15) Factor it (sqrt(3)sqrt(5)sqrt(5)) / (sqrt(3)sqrt(5)) Now cancel the sqrt(3) and sqrt(5) on both top and bottom, giving sqrt(5) / 1 sqrt(5) So we're just left with the square root of 5. Checking the available options, you see that D. 
√5  is an exact match. So that's your answer.

Answer:

sqrt15/3, sqrt 5, sqrt 25/5

Step-by-step explanation:

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