powerangers69
how to simplify sqrt(12^2+12^2x3) ?



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powerangers69
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\[\sqrt{12^2+12^2\times 3} \]

baddinlol
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\[\sqrt{144 +432}= \sqrt{576} = \sqrt{24^2}=24\]

powerangers69
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what if u dunno 576=24^2

powerangers69
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the worked solns had sqrt(4x144)=24 how did they get that 4x144

powerangers69
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nvmm

baddinlol
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OK do you know what 576 is divisible by 4

baddinlol
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Yeah you could have done \[\sqrt{144*4}=2\sqrt{144} = 2*12= 24\]

powerangers69
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yeah my bad ..

powerangers69
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is there a way to find highest perfect square ? cant remmeber l..

baddinlol
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You need to remember these numbers 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 196, 225.

powerangers69
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hm cant remember but i think teacher showed something like keep halving until u find squares.. 3 years ago ..

powerangers69
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like 576 = 2x288= 4x144

baddinlol
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OH yeah that could work

powerangers69
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oh is it just breaking it down into its factors .. xd

baddinlol
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Thats it =D

powerangers69
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thankss