數數數數數數

6 / root 12
= 6 / root (3x4)
= 6 / 2 root 3
= 3 / root 3

答案是 3 over 開方 3

Question: 6 / sqrt (12) = ?

Answer: (sqrt means squre root)

6 / sqrt (12)
= 6 / sqrt (4 * 3)
= 6 / [sqrt (4) * sqrt (3)] (choose 4 * 3 because 4 is a perfect squre)
= 6 / [2 * sqrt (3)]
= 3 / sqrt (3)
= [3 / sqrt (3)] * [sqrt (3) / sqrt (3)] (we do not want to have sqrt in the bottom)
= [3 * sqrt (3)] / [sqrt (3) * sqrt (3)]
= [3 * sqrt (3)] / 3
= sqrt (3)

6 over 開方12
= 6 / square root 12
= 6 / (2 * square root 3)
= 3 / square root 3
= (3 * square root 3) / (square root 3 * square root 3)
= (3 * square root 3) / 3
= square root 3

6 / √12 = 6 / [2√3] = 3/√3 = √3

6 over 開方12
=6over 2開方3
=3over 開方3
=開方3

6/ 開方12
= 6/ 2開方3
=3/ 開方3 (6同2 約簡)
=開方3

唔好意思, 因為無得打開方個野, so 唔係做得咁清楚