Question

is √27/√15 a rational number. justify​

Answer 1

Answer:

Step-by-step explanation:

NO

sqrt(27) / sqrt(15) = sqrt(27 / 15)

= sqrt(9 × 3 / 5 × 3)

= sqrt(9 / 5)

= sqrt(9) / sqrt(5)

= 3 / sqrt(5)

since sqrt(5) is irrational, then

3 / sqrt(5) is also irrational.