Given expression = [ (.538)2 - (.462)2 ] / .076
= [(.538 + .462)(.538 - .462)] /.076
=.076 / .076
= 1
122.76 / 15.50 = 12276/1550
= (12276 / 155) x (1/10)
= 79.2 / 10
= 7.92
Given expression = 3?5 / 2?5 - 0.48
= (3 x 2.24) / (2 x 2.24) - 0.48
= 6.72 / 4.48 - 0.48
= 6.72 / 4
= 1.68
?5/3 = ?15/9
= ?15/3
= 3.88/3
= 1.29
?4096/100+ ?4096/10000 + ?4096/1000000 + ?4096/100000000
=?4096 / 10 + ?4096/ 100 + ?4096/ 1000 + ?4096/ 10000
=64/10 + 64/100 + 64/1000 + 64/10000
=6.4 + .64 + .064 + .0064
= 7.1104
? 0.289 / 0.00121
= ? 0.28900 / 0.00121
= ? 28900 / 121
= 170 / 11
Given expression = [(0.05)2 + (0.41)2 +(0.073)2] / [(0.005)2 + (0.041)2 + (0.0073)2]
Which is in form of [(a2 + b2 + c2)] /[ (a/10)2 + (b/10)2 + (c/10)2] = 100 x (a2 + b2 + c2) / (a2+b2+c2)
= 100
Given expression =(13.065)2-(3.065)2
=(13.065 + 3.065) x (13.065 - 3.065)
=16.13 x 10
= 161.3
Given expression = (.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966)
=.[896 x (.752+.248)] / [.7 x (.034+.966)]
= .(896 x 1) / ( .700 x 1)
=896/700
= 1.28
Given expression = [(.356)2 -2 x .356 x .106 + (.106)2] / [(.632)2+2 x .632 x .368 +(.368)2]
= (a2 -2ab + b2) / (c2+2cd+d2)
= (a - b)2 / (c + d)2
= (.356 -.106)2 / (.632 + .368)2
= (.25)2
= .0625
Given expression
=[(3.65)2 + (2.35)2 -2 x 3.65 x 2.35 ] / 1.69
=a2 + b2 - 2ab / 1.69, Where a = 3.65 and b = 2.35
=(a - b)2 / 1.69
= (3.65 - 2.35)2 / 1.69
= (1.3)2 / 1.69
= 1.69 / 1.69
= 1
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