Why does (sqrt12)/2=(sqrt3)

i know the answer i just dont get why . im probrobly being realy stupid... help please.

(sqrt12)/2=sqrt(12)/sqrt(4)=sqrt(12/4)=s…

the square root of 12 is also the square root of 4 * 3

you can take the 4 out and put it outside of the symbol and get 2 * sqr (3) / 2

then the 2's cancel out and you are left with the sqr (3)

simplify the radical.

√12 / 2

(√(4x3)) / 2

(√4 x √3) / 2

2√3 / 2

NOTE that 2/2 = 1, leaving you with

1√3 / 1

√3 / 1

√3

(sqrt 12)/ 2 = {(sqrt(2*2*3)} /2
= (2sqrt3) / 2
= (2* sqrt3) / 2
= sqrt3