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Mathematics 24 Online
OpenStudy (anonymous):

Am i right http://prntscr.com/1v1h1q

OpenStudy (opcode):

\(\sqrt{4}\) is a rational number. \(-2\pi\) is not a rational number. \(-2 \sqrt{7}\) is not a rational number. \(78.80\) is a rational number. \(-47.86\) is a rational number.

OpenStudy (opcode):

So you are right on all except \(\sqrt{4}\).

OpenStudy (opcode):

@skatey do you understand?

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

not completely

OpenStudy (opcode):

No problem, glad to help.

OpenStudy (anonymous):

why is sqrt 4 rational?

OpenStudy (opcode):

Surprisingly there is a Wikipedia page devoted to that reason: https://en.wikipedia.org/wiki/User:wingspanlyon/Square_root_of_4 Here is a page that explains it better though: http://www.mathsisfun.com/numbers/irrational-finding.html Scroll to where it says: "Try Some More Numbers"

OpenStudy (anonymous):

wiki dont work

OpenStudy (anonymous):

ok thanks

OpenStudy (opcode):

Quoted from the mathisfun link: "How about 4? 4 is 4/1 = 22 Yes! The exponent is an even number! So 4 can be made by squaring a rational number. The square root of 4 is rational"

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