how can we understand the huge square roots whether they are rational or irrational?

say about repting rational numbersending[pq]form

2x+2x=

2

^{61}+ 2^{62}+ 2^{63}+ 2^{64}?(a)100

(b) 10

(c)27

(d)17

_{11})^{2}-(t_{1})^{2}=1500 and (t_{11}-t_{1})=30,then what is t_{11}?how can we understand the huge square roots whether they are rational or irrational?

say about repting rational numbersending[pq]form=0.0625

2x+2x=