Question

The smallest number by which √27 should be multiplied so as to get a rational number is
A. √27
B. 3√3
C. √3
D. 3

Answer 1

I think option A is correct

Step-by-step explanation:

because √27 × √27 = 27

Answer 2

C. √3

Step-by-step explanation:

√27 = √( 9 * 3) = 3√3

When we multiply 3√3 by √3, we get 3√3 * √3 = 3 * 3 = 9. 9 is a rational number.

So, the smallest number by which √27 should be multiplied so as to get a rational number is √3.

Option C is the answer.