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  • 01-09-2019
  • Mathematics
contestada

Estimate V130 to the nearest integer.

Respuesta :

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gmany gmany
  • 01-09-2019

Answer:

[tex]\large\boxed{\sqrt{130}\approx11}[/tex]

Step-by-step explanation:

[tex]\sqrt{a}=b\iff b^2=a\\\\11<\sqrt{130}<12\\\\\text{because}\ 11^2=121<130\ \text{and}\ 12^2=144>130\to121<130<144.\\\\\text{We calculate the difference to check closer to which number a given root is}\\\\130-121=9\\144-130=14\\\\\text{closer to 11}[/tex]

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