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how to simplify sqrt(12^2+12^2x3) ?

Mathematics
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\[\sqrt{12^2+12^2\times 3} \]
\[\sqrt{144 +432}= \sqrt{576} = \sqrt{24^2}=24\]
what if u dunno 576=24^2

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Other answers:

the worked solns had sqrt(4x144)=24 how did they get that 4x144
nvmm
OK do you know what 576 is divisible by 4
Yeah you could have done \[\sqrt{144*4}=2\sqrt{144} = 2*12= 24\]
yeah my bad ..
is there a way to find highest perfect square ? cant remmeber l..
You need to remember these numbers 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 196, 225.
hm cant remember but i think teacher showed something like keep halving until u find squares.. 3 years ago ..
like 576 = 2x288= 4x144
OH yeah that could work
oh is it just breaking it down into its factors .. xd
Thats it =D
thankss

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