Find the smallest number by which 27 should be multiplied so as to get a rational number.

The given number is 27 .We know that the square roots of all positive numbers which are not perfect squares are irrational numbers.a×a=a ⇒27=3×9 ⇒27=3×3×3 ⇒27=33 Let's check the possibilities of all the options given.Let's first consider 3.27×3=33×3 ⇒27×3=3×3 ⇒27×3=9 So, 9 is a rational number and the smallest possible.Now let's consider 27.27 is also a rational number but compared to 9, 27 is a larger number.Now let's consider 33.27×33=33×33 ⇒27×33=3×3×3×3 ⇒27×33=3×3×3 ⇒27×33=27 27 is a rational number but compared to 9, 27 is a larger number.27×3=33×3 ⇒27=93 which is not even a rational number.Therefore, the smallest number by which 27 should be multiplied so as to get a rational number is 3 .Hence, option 1 is correct.

Find the smallest number by which 27 should be multiplied so as to get a rational number.

The given number is 27 .We know that the square roots of all positive numbers which are not perfect squares are irrational numbers.a×a=a ⇒27=3×9 ⇒27=3×3×3 ⇒27=33 Let's check the possibilities of all the options given.Let's first consider 3.27×3=33×3 ⇒27×3=3×3 ⇒27×3=9 So, 9 is a rational number and the smallest possible.Now let's consider 27.27 is also a rational number but compared to 9, 27 is a larger number.Now let's consider 33.27×33=33×33 ⇒27×33=3×3×3×3 ⇒27×33=3×3×3 ⇒27×33=27 27 is a rational number but compared to 9, 27 is a larger number.27×3=33×3 ⇒27=93 which is not even a rational number.Therefore, the smallest number by which 27 should be multiplied so as to get a rational number is 3 .Hence, option 1 is correct.