AminaArdekani AminaArdekani

06-06-2017
Mathematics

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Plot the approximate value of square root of √10 on the number line

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LammettHash LammettHash

06-06-2017

Notice that

[tex]9<10<16\implies\sqrt9<\sqrt{10}<\sqrt{16}\implies3<\sqrt{10}<4[/tex]

and given that 10 is closer to 9, it's clear that [tex]\sqrt{10}[/tex] is probably closer in value to 3 then to 4. (The actual value is indeed about 3.162.)

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