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Mathematics 10 Online
OpenStudy (anonymous):

please help which one is irrational

OpenStudy (anonymous):

@ambujverma

OpenStudy (anonymous):

\[\sqrt{25}\]

OpenStudy (anonymous):

thats A.

OpenStudy (anonymous):

B. \[\sqrt{225}\]

OpenStudy (anonymous):

both are rational

OpenStudy (solomonzelman):

Irrational numbers are square roots (unless it is a square root of a perfect square such as √16 ) also, e, and π

OpenStudy (anonymous):

C. \[\sqrt{78}\]

OpenStudy (anonymous):

D. \[\sqrt{59}\]

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle 225=15\times 15 }\) \(\large\color{black}{ \displaystyle 25=5\times 5 }\)

OpenStudy (solomonzelman):

so square root of a perfect square will give you (in this case) an integer).

OpenStudy (solomonzelman):

there is more than 1 answer.

OpenStudy (anonymous):

yeeah

OpenStudy (anonymous):

a,b are rational as we cannot write c,d in p\q form so thes are irrational

OpenStudy (solomonzelman):

adding: \(\large\color{black}{ \displaystyle \left\{p,q\right\}\in{\bf N} }\)

OpenStudy (solomonzelman):

in other words, p and q are integers. (that is 1 way to define rational number, to which ambujverma was referring) A rational number is a quotient of 2 integers p and q, such that: p/q

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