Identify sqrt(2) as either rational or irrational, and approximate to the tenths place.
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OpenStudy (blackops2luvr):
@Jhannybean @Nnesha
OpenStudy (blackops2luvr):
Before you answer this question, am i correct for this one?:
Solve x^2 = 121.
=, ±11
OpenStudy (blackops2luvr):
Because 11^2 can be -11, 11 so its both ways.
OpenStudy (solomonzelman):
OpenStudy (blackops2luvr):
Am i wrong?
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OpenStudy (solomonzelman):
you are correct about \(\large\color{black}{ x^2=121 }\) that. \(\large\color{black}{ x=\pm11 }\)
OpenStudy (blackops2luvr):
OMG!!!!!! you have been gone for \(\small\sf\color{red}{SOO}\) long!
OpenStudy (blackops2luvr):
k
OpenStudy (solomonzelman):
the picture I posted about real numbers numbers should help with the question of the post;)
OpenStudy (solomonzelman):
I wrote "numbers" twice;) lol
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OpenStudy (blackops2luvr):
XD okay ty.
OpenStudy (solomonzelman):
yes, so is \(\large\color{black}{ \sqrt{2} }\) a rational, or an irrational number?
OpenStudy (blackops2luvr):
Irrational
OpenStudy (solomonzelman):
yes:)
OpenStudy (solomonzelman):
and the approximation of \(\large\color{black}{\sqrt{2} }\) to the nearest 10th?
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OpenStudy (blackops2luvr):
1.5?
OpenStudy (solomonzelman):
we know that:
\(\large\color{black}{\sqrt{2} \approx 1.4142... }\)
(symbol \(\large\color{black}{\approx }\) means "approximately equal)
OpenStudy (solomonzelman):
when you round a \(\large\color{black}{1 }\) does it become a \(\large\color{black}{10 }\) or a \(\large\color{black}{0}\) ?
OpenStudy (blackops2luvr):
0
OpenStudy (blackops2luvr):
Oh wait
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OpenStudy (solomonzelman):
yes, so when you say
\(\large\color{black}{\sqrt{2} \approx 1.41 }\)
then is it \(\large\color{green}{\sqrt{2} \approx 1.5 }\) or \(\large\color{blue}{\sqrt{2} \approx 1.4 }\) ?
OpenStudy (blackops2luvr):
1.4
OpenStudy (solomonzelman):
yup, there you go!
OpenStudy (blackops2luvr):
ty
OpenStudy (solomonzelman):
np
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