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Mathematics 18 Online
OpenStudy (radvedder):

someone help me with square roots please?

OpenStudy (johnweldon1993):

What do you need? :)

OpenStudy (radvedder):

okay, the first one is the square root of 49. i got 7. right?

OpenStudy (kiakat):

the square root of 49 is 7, yes

OpenStudy (radvedder):

okay, and for the next one. square root of 5.29. i got 2.3. but i think we are suppose to turn it into a fraction?

OpenStudy (kiakat):

2.3 is correct. Do you know how to turn a decimal into a fraction?

OpenStudy (radvedder):

no :(

OpenStudy (johnweldon1993):

Hint...what is 2.3 times 10? 23 right? so how do we write it as a fraction? \[\large \frac{23}{10}\] right? since 2.3 times 10 = 23 ...that means that 23 divided by 10 = 2.3 :)

OpenStudy (radvedder):

so the answer is 23 over 10?

OpenStudy (johnweldon1993):

If you are supposed to write it as a fraction...then yes :)

OpenStudy (kiakat):

yes but you'll have to reduce it.

OpenStudy (radvedder):

and for the next one. it's the square root of negative 78. i got -8.8. -88 over 10?

OpenStudy (johnweldon1993):

^reduce it? you mean to a mixed fraction? @KiaKat ?

OpenStudy (johnweldon1993):

Noooooo not quite on that last one we cannot take the square root of negative numbers without introducing imaginary numbers

OpenStudy (radvedder):

I'm so frustrated. I can't do this.

OpenStudy (kiakat):

Yes. Most math textbooks want you to reduce it down to a mixed fraction, but if you wanted to you could put it as a mixed fraction and then put "or 23/10"

OpenStudy (johnweldon1993):

Dont get frustrated :) honestly the answer is just adding an 'i' at the end \[\large \sqrt{-78} = \sqrt{78 \times -1} = 8.8\sqrt{-1}\] what is the square root of -1? that (as you can look up...= 'i' \[\large 8.8i\] would be your final answer

OpenStudy (radvedder):

i? we didn't learn that. i got -8.8 as an answer and i guess we have to put it in fraction form

OpenStudy (kiakat):

If they're just doing fractions and square roots, i dont think they've gotten to imaginary numbers yet

OpenStudy (radvedder):

so if it's -8.8 what would that be in fraction form?

OpenStudy (kiakat):

thats a good question, because if it's negative it would have to be an imaginary number...

OpenStudy (radvedder):

what about the square root of 36/81? i got 2/3. would i just leave it at that?

OpenStudy (kiakat):

how did you get 2/3??

OpenStudy (radvedder):

i took the square root of 36 over 81

OpenStudy (kiakat):

haha now im confused. @johnweldon1993

OpenStudy (johnweldon1993):

\[\large \frac{\sqrt{36}}{\sqrt{81}} = \frac{6}{9} = \frac{2}{3}\]

OpenStudy (kiakat):

ohhhhh

OpenStudy (radvedder):

yes, that's what i got. do i just leave it as 2/3?

OpenStudy (kiakat):

yeah probably then

OpenStudy (johnweldon1993):

Indeed just 2/3

OpenStudy (radvedder):

thank you!

OpenStudy (johnweldon1993):

Of course! and sorry...but definitely write 8.8i for that second one....your teacher knows its right and should go over it

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