To find the square root of 24 you should factor 24 and you get:
2*2*2*3
Or:
[tex] \sqrt{24} = \sqrt{2*2*2*3} [/tex]
We could split it up into two square roots multiplied by each other:
[tex] \sqrt{2*2} *\sqrt{2*3} [/tex]
Which simplifies to:
[tex]\sqrt{2*2} *\sqrt{2*3} = 2 \sqrt{6} [/tex]