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square root of 27/75

Simplify

Be sure to write your answer in lowest terms.

3 Answers by Expert Tutors

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Curt A. | ALL Math, from Pre-Algebra to Partial Differential EquationsALL Math, from Pre-Algebra to Partial Di...
4.3 4.3 (7 lesson ratings) (7)
0

So √27 / √75 =

the top first √27 = √9 * √3 =                3 * √3

now the bottom part √75 = √25 * √3 = 5 * √3

and so the √3 cancells out leaving       = 3/5

Nataliya D. | Patient and effective tutor for your most difficult subject.Patient and effective tutor for your mos...
0

√(ab) = √a · √b
√(a/b) = (√a) / (√b)
~~~~~~~~
√(27/75) = (√27)/(√75) = (√(3 · 9)) / (√(3 · 25)) = 3√3 / 5√3 = 3/5
   3 √3   
   5 √3  
    3      
    

Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
0

sqrt(27/75)

= sqrt(9/25), after cancelling 3.

= 3/5 <==Answer, since (3/5)^2 = 9/25