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Mathematics 19 Online
OpenStudy (anonymous):

HLP

OpenStudy (anonymous):

OpenStudy (anonymous):

i think c

OpenStudy (whpalmer4):

show me your work and I will tell you if I agree...

OpenStudy (anonymous):

i did it with a calcuator

OpenStudy (soprano.h.d0816):

Type what you did in the calculator on here

OpenStudy (whpalmer4):

need to be able to figure it out yourself. what do you do if you don't have a calculator?

OpenStudy (anonymous):

well my teacher use a calcuator

OpenStudy (anonymous):

nevermine im going to close this

OpenStudy (whpalmer4):

ok, go ahead, if you don't want to know how to do this correctly, or how to check your own answers...

OpenStudy (whpalmer4):

I am confident that your teacher at least knows how to do it by hand

OpenStudy (whpalmer4):

you can check your answer easily enough. does \[12\sqrt{6}*12\sqrt{6}=\sqrt{1008}\]? if so, then \[12*12*6=1008\]Does it?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

its b

OpenStudy (whpalmer4):

yes, b is correct because the factors of 1008 are 2,2,2,2,3,3,7

OpenStudy (anonymous):

thnxs

OpenStudy (whpalmer4):

1008 is even (ends in 0,2,4,6,8) so we can divide it by 2 504 is even so we can divide it by 2 252 is even so we can divide it by 2 126 is even so we can divide it by 2 63 has sum of digits of 9 so we can divide it by 3 21 has sum of digits of 3 so we can divide it by 3 7 can by divided by 7 1008 = 2*2*2*2*3*3*7 for each pair of identical factors under the square root sign, we can move them outside, keeping only 1, so \[\sqrt{1008}=\sqrt{2*2*2*2*3*3*7}=2*2*3\sqrt{7}=12\sqrt{7}\]

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