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Mathematics 7 Online
OpenStudy (meilendurcer):

will give medal to whoever can help with some math problems Given the two expressions shown below i'll attach it. Which statement best describes the two expressions? A. Both are rational. B. Both are irrational. C. A is rational, but B is irrational. D. A is irrational, but B is rational.

OpenStudy (meilendurcer):

OpenStudy (anonymous):

For simplicity an irrational number in this case would not be a perfect square

OpenStudy (anonymous):

try taking the square root of both of the numbers and adding them together. Which number gives you a non repeating decimal and which one gives you a perfect integer (eg. 1,2,3,4,..)

OpenStudy (meilendurcer):

@VeritasVosLiberabit what

OpenStudy (anonymous):

so first simply both answers. what is \[\sqrt{64}+\sqrt{5}=?\]

OpenStudy (anonymous):

then what is \[\sqrt{64}+\sqrt{4}\]

OpenStudy (meilendurcer):

69?

OpenStudy (meilendurcer):

10.2?

OpenStudy (anonymous):

No. you will have to first take the square root of both numbers. Do you know how to take the square root of a number?

OpenStudy (meilendurcer):

nope

OpenStudy (anonymous):

yes that sounds better, Does your calculator repeat a bunch of numbers after the decimal place?

OpenStudy (meilendurcer):

Yes

OpenStudy (meilendurcer):

sqrt 64 + sqrt 4 is 10?

OpenStudy (anonymous):

the number is actually 10.23606798... This means that the number is irrational, because it does not have a repeating decimal

OpenStudy (anonymous):

yes correct

OpenStudy (meilendurcer):

right i got that.

OpenStudy (anonymous):

letter b would be considered rational, because it is a perfect integer with no repeating decimal values.

OpenStudy (meilendurcer):

ok. so is it between B or D??

OpenStudy (anonymous):

right

OpenStudy (anonymous):

knowing this now which is the correct answer?

OpenStudy (meilendurcer):

i wanna say D

OpenStudy (meilendurcer):

A is irrational but B comes out to 10

OpenStudy (anonymous):

you would be correct.

OpenStudy (anonymous):

Well done.

OpenStudy (meilendurcer):

yay thanks!! please help with more

OpenStudy (anonymous):

Ok sure, what else do you have?

OpenStudy (anonymous):

make a new topic and I will go to it.

OpenStudy (meilendurcer):

ok

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