I though that you are not allowed to ask multiple questions at a time but nevermind, I will still try and help you solve the equation.
1) -57 is rational as it is still a real number, means it is not a complex number that goes on for a few thousands digits. It is a terminating digit, means it will stop in some point of time, it won't carry on forever
2)0.60719901 is a rational number, same as negative 57. The reason is same as the above
3) 1/ sqrt121= positive 1/11 or negative 1/11 as 121 has positve and negative roots
4) sqrt384, according to three significant figures is 19.6. The more complex one is 19.59591794 and so on. It is a complex number and so an irrational number. To change it to surd, divide 384 by 6 to get 64. Then sqrt 64 to get 8. You get surd form (a)sqrt(b) of 8sqrt6, which is the same as sqrt384, but in simpler terms.
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