Question

how many number lie between squares of 1000² and 1001²​

Answer 1

Answer:

2000

Step-by-step explanation:

${1001}^{2} - {1000}^{2}$

$(1001 + 1000)(1001 - 1000)$

$2001 \times 1$

$2001$

number lie between squares of 1000² and 1001² are 2001-1=2000

Answer 2

Answer:

2000 numbers

Step-by-step explanation:

1001²-1000²

=(1001)²-(1000)²

=(1001+1000)(1001-1000)... law of indces

=2001x1

=2001

Since, 2001 includes either of  1000² ​or 1001²​  

No. of non-square numbers between 1000² ​and 1001²​  

= 2001 - 1

= 2000

hence,there are 2000 numbers between 1000² ​and 1001²​