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ZNZACFSVSZJATYFASV ZNZACFSVSZJATYFASV
  • 24-07-2021
  • Mathematics
contestada

Which choices are equivalent to the quotient below? Check All That Apply.

Which choices are equivalent to the quotient below Check All That Apply class=

Respuesta :

Eduard22sly
Eduard22sly Eduard22sly
  • 30-07-2021

Answer:

Option C. √5/3

Step-by-step explanation:

We'll begin by simplifying √15 / 3√3. This can be obtained as follow:

√15 / 3√3

Rationalise

√15 / 3√3 × (√3 /√3)

(√15 × √3) / (3√3 × √3)

√45 / (3 × 3)

√45 / 9

Recall:

√45 = √(9 × 5) = √9 × √5 = 3√5

Thus,

√45 / 9 = 3√5 / 9

√45 / 9 = √5 / 3

Therefore,

√15 / 3√3 = √5 / 3

Thus, option C gives the right answer to the question.

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