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

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Answer 1 · 2016-10-25T04:38:50

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

#sqrt10.24#

= #sqrt(1024/100)# , 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.