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

Question

Hugh Pruitt

Mathematics

17 April, 22:53

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

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Answers (1)

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Elian Heath · Answer 1

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.