## anonymous 3 years ago how to simplify sqrt(12^2+12^2x3) ?

1. anonymous

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

2. anonymous

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

3. anonymous

what if u dunno 576=24^2

4. anonymous

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

5. anonymous

nvmm

6. anonymous

OK do you know what 576 is divisible by 4

7. anonymous

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

8. anonymous

9. anonymous

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

10. anonymous

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

11. anonymous

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

12. anonymous

like 576 = 2x288= 4x144

13. anonymous

OH yeah that could work

14. anonymous

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

15. anonymous

Thats it =D

16. anonymous

thankss