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

Sagot :

Answer:

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.

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 :

  • √1,000,000 = 1000

  • √9,000,000 = 3000

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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