How many perfect square are there between 1,000,000 and 9,000,000?

The number of perfect squares between the values 1,000,000 and 9,000,000 would be 1999

Taking the square root of the boundaries :

The number of perfect squares would be :

[(√9,000,000 - √1,000,000) - 1]

[3000 - 1000] - 1

2000 - 1

= 1999

Hence, the number of perfect squares would be 1999.

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1999

Step-by-step explanation:

The square root of 1,000,000 = 1,000.

The square root of 9,000,000 = 3,000.

This means that the number of perfect square will be every number from 1,000^2 to 3,000^2. To find how many numbers that is, just do 3000-1000 = 2000, and then subtract one because otherwise you would be counting the 3000^2 which you don't want to do (it asks how many perfect squares are between the two numbers).

2000 - 1 = 1999.