Sindikay Sindikay
  • 10-09-2020
  • Mathematics
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Find the smallest positive integer that must be added to 2010 to obtain a perfect square

Find the smallest positive integer that must be added to 2010 to obtain a perfect square class=

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Estellia
Estellia Estellia
  • 10-09-2020

Answer:

15

Step-by-step explanation:

Take the square root of 2010: [tex]\sqrt{2010} =44.833...[/tex]

Round this value up: [tex]45[/tex]

Square the number: [tex]45^{2} =2025[/tex]

2025 is the closest number to 2010 that is a perfect square.

Difference: [tex]2025-2010=15[/tex]

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