Find the squares of the following numbers without actual multiplication:
$49$ , $52$
$2441; 2704$
$2401; 2784$
$2401; 2704$
$2441; 2784$

Question

Find the squares of the following numbers without actual multiplication-49- 522441- 27042401- 27842401- 27042441- 2784

Toppr Admin · Accepted Answer

492-40-9-2-40-40-9-9-40-9-40-2-40-xD7-9-9-xD7-40-92-1600-360-360-81So- 492-2401522-50-2-2-50-50-2-2-50-2-502-50-xD7-2-2-xD7-50-22-2500-100-100-4So- 522-2704-

Find the squares of the following numbers without actual multiplication:49, 522441;27042401;27842401;27042441;2784

492=(40+9)2=40(40+9)+9(40+9)=(40)2+40×9+9×40+92=1600+360+360+81So, 492=2401522=(50+2)2=50(50+2)+2(50+2)=502+50×2+2×50+22=2500+100+100+4So, 522=2704.

Find the squares of the following numbers without actual multiplication:
$49$ , $52$
$2441; 2704$
$2401; 2784$
$2401; 2704$
$2441; 2784$

$49^{2} = (40 + 9)^{2} = 40 (40 + 9) + 9 (40 + 9)$
$= (40)^{2} + 40 \times 9 + 9 \times 40 + 9^{2}$
$= 1600 + 360 + 360 + 81$
So, $49^{2} = 2401$
$52^{2} = (50 + 2)^{2} = 50 (50 + 2) + 2 (50 + 2)$
$= 50^{2} + 50 \times 2 + 2 \times 50 + 2^{2}$
$= 2500 + 100 + 100 + 4$
So, $52^{2} = 2704$ .