Square of no. having unit digit is 5 can be found by adding 1 to the no except unit digit i.e. 5 and multiply this no to the original no. in which we can add 1 and finally write the 25 in the last of the digit
5^{2}=25
15^{2}=(1)(1+1) 25=1
2 25 =225 ;
25^{2}=(2) (2+1) 25=2
3 25=625 ;
35^{2}=(3) (3+1) 25=3*4 25=1225 ;
then find ;
605^{2}
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605^{2}= (60) (60+1) 25 = (60) (61) 25= 366025