Question

Find the squares of the following numbers by visual method:
(i) 52 (ii) 95
(iii) 505 (iv) 702
(v) 99

Answer 1

$a+b{)}^2=a^2-ab+ab+b^2$
(i) $(52{)}^2=(50+2{)}^2$
=2500+100+100+4
=2704


(ii) $(95{)}^2=(90+5{)}^2$
=8100+450+450+25
=9025

(iii) $(505{)}^2=(500+5{)}^2$
=250000+2500+2500+25
=255025

(iv) $(702{)}^2=(700+2{)}^2$
=490000+1400+1400+4
=492804

(v) $(99{)}^2=(90+2{)}^2$
=8100+810+810+81
=9801