What is the set of numbers to which sqrt(10.24)10.24 belong?

1 Answer

sqrt10.24=3.210.24=3.2 so it is a rational number.

Explanation:

sqrt10.2410.24

= sqrt(1024/100)1024100 , as 1024=ul(2xx2)xxul(2xx2)xxul(2xx2)xxul(2xx2)xxul(2xx2)

= sqrt(2^10/10^2

= 2^5/10

= 32/10

= 3.2

The number can be written as a fraction, so it is a rational number.