## powerangers69 Group Title how to simplify sqrt(12^2+12^2x3) ? 2 years ago 2 years ago

1. powerangers69

$\sqrt{12^2+12^2\times 3}$

$\sqrt{144 +432}= \sqrt{576} = \sqrt{24^2}=24$

3. powerangers69

what if u dunno 576=24^2

4. powerangers69

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

5. powerangers69

nvmm

OK do you know what 576 is divisible by 4

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

8. powerangers69

9. powerangers69

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.

11. powerangers69

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

12. powerangers69

like 576 = 2x288= 4x144

OH yeah that could work

14. powerangers69

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