When a natural number is multiplied by itself,the result is a square number. Some examples of square numbers are 1,4,9,16 and 25.

How many square numbers are there between 1,000 and 2000?

Printable View

- Oct 14th 2008, 07:45 PMfecoupefesquare numbers
When a natural number is multiplied by itself,the result is a square number. Some examples of square numbers are 1,4,9,16 and 25.

How many square numbers are there between 1,000 and 2000? - Oct 14th 2008, 08:03 PMvincisonfireReply
31^2 = 961

45^2 = 2025

44-31 = 13 perfect squares between 1000 and 2000 - Oct 14th 2008, 08:10 PMSoroban
Hello, fecoupefe!

Quote:

When a natural number is multiplied by itself,the result is a square number.

Some examples of square numbers are 1, 4, 9, 16 and 25.

How many square numbers are there between 1,000 and 2000?

Since $\displaystyle \sqrt{1000}\approx 31.62$ and $\displaystyle \sqrt{2000} \approx 44.72$

. . the squares are: .$\displaystyle 32^2,\:33^2,\:34^2,\hdots,\:44^2$

There are 13 square numbers between 1000 and 2000.

- Oct 14th 2008, 08:13 PM11rdc11