Question

how many non square numbers lie between 1000²and 1001²

Answer 1

hey!!

here is your answer...

In order to find how many numbers exist between these two squares, we will need to subtract then.

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

to do this in a simple method, we will have to use the identity.

${a}^{2} - {b}^{2}$

which is

( a + b ) ( a - b )

a is 1001 , b is 1000

let us substitute...

we get,

( 1001 + 1000 )( 1001 - 1000 )

which is ,

2001 ( 1)

=> 2001...

so, there are 2000 numbers between these two squares...

as the 2001 numbers might include one of the two numbers, 1000 or 1001, soo.. 2001-1


hope it helps!

Answer 2

hi

to get 1000 and 1001 we should

there are thousand non square numbers lies between this

hope this may help you

tq