Mathematics
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OpenStudy (anonymous):
Simplify 5^3√96
(5 cubed times the square root of 96)
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OpenStudy (anonymous):
Choices:
20^3√6
10^3√12
7^3√12
2^3√12
OpenStudy (cwrw238):
sqrt96 = sqrt16 * sqrt6 = 4sqrt6
OpenStudy (anonymous):
is it a then?
OpenStudy (anonymous):
it's B
OpenStudy (anonymous):
how did you get to that answer? this section of my course is really confusing me haha
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OpenStudy (cwrw238):
5^3 = 125
OpenStudy (anonymous):
okay i got that
OpenStudy (cwrw238):
125 * 4 sqrt6
= 600 sqrt6
OpenStudy (anonymous):
10^3cuberoot 12 = 5*2cuberoot12 =5cuberoot12*2^3
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
how can 600 sqrt 6 be simplified?
OpenStudy (cwrw238):
yea - I'm looking at that - i'm not at my best today!!!
OpenStudy (anonymous):
haha its okay
OpenStudy (cwrw238):
sqrt600 = sqrt100sqrt6 = 10sqrt6
OpenStudy (anonymous):
can that be simplfied? because 10sqrt6 isnt a choice
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OpenStudy (anonymous):
what are your choices?
OpenStudy (anonymous):
Choices:
20^3√6
10^3√12
7^3√12
2^3√12
OpenStudy (anonymous):
what is your question again?
OpenStudy (anonymous):
Simplify 5^3√96
OpenStudy (cwrw238):
i think your interpretation of question may be wrong
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OpenStudy (anonymous):
5^3 is 125 not 600 lol
OpenStudy (anonymous):
ooops I thought u said 600 sqrt 6
OpenStudy (cwrw238):
yea i know - but multiplied by 4 thats 600
OpenStudy (cwrw238):
so it comes to 600 sqrt6
OpenStudy (anonymous):
what multiply by 4?
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OpenStudy (cwrw238):
oops 500 - my bad maths!!!
OpenStudy (anonymous):
LOL
OpenStudy (cwrw238):
its 500 sqrt6
OpenStudy (anonymous):
Choices:
20^3√6
10^3√12
7^3√12
2^3√12
OpenStudy (anonymous):
yea
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OpenStudy (cwrw238):
but thats still not one of the choices!!!
OpenStudy (anonymous):
i know lol
OpenStudy (cwrw238):
this is a comedy of errors
OpenStudy (anonymous):
Hahaha
OpenStudy (cwrw238):
- mostly mine
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OpenStudy (anonymous):
me too for not understanding how to do math lol
OpenStudy (anonymous):
let's conclude there's printing error
OpenStudy (cwrw238):
sqrt 96 is approximately 10
so that makes the value about 1250
OpenStudy (anonymous):
1224.74 to be exact
OpenStudy (cwrw238):
right
first choice = 8000 sqrt6 - much higher
second = 1000 * 3.5
third = 340 * 3.5 = thats close
fourth - too low
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OpenStudy (cwrw238):
none of the choices match
OpenStudy (anonymous):
Yea, even the third one is not close enough