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## powerangers69 how to simplify sqrt(12^2+12^2x3) ? one year ago one year ago

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1. powerangers69

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

2. baddinlol

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

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

6. baddinlol

OK do you know what 576 is divisible by 4

7. baddinlol

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

8. powerangers69

yeah my bad ..

9. powerangers69

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

10. baddinlol

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

13. baddinlol

OH yeah that could work

14. powerangers69

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

15. baddinlol

Thats it =D

16. powerangers69

thankss