Determine-the-least-number-of-4-digits-which-is-perfect-square-Method-of-finding-is-required-

Question Number 28932 by Rasheed.Sindhi last updated on 01/Feb/18

Determine the least number of 4 digits,

which is perfect square .

Method of finding is required .

Answered by mrW2 last updated on 01/Feb/18

x = n^{2} ⩾ 1000

n ⩾ \sqrt{1000} = 31.6

\Rightarrow n ⩾ 32

x_{m i n} = 32^{2} = 1024

x = n^{2} ⩽ 9999

n ⩽ \sqrt{9999} = 99.99

\Rightarrow n ⩽ 99

x_{m a x} = 99^{2} = 9801

32, 33, \dots, 99 \Rightarrow 99 - 32 + 1 = 68

i . e . t h e r e a r e t o t a l l y 68

4 - d i g i t - n u m b e r s w h i c h a r e

p e r f e c t s q u a r e .

Commented by Rasheed.Sindhi last updated on 02/Feb/18

T h α nks - a - lot S ir!