Answer:
[tex]\sqrt{54x^{2}} = 3x\sqrt{6}[/tex]
Step-by-step explanation:
We have
[tex]\sqrt{54x^{2}}[/tex] this equals to
[tex]\sqrt{3.3.3.2.x^{2} }[/tex] now we try to agrupate to have exponent of 2 that we can cancel
[tex]\sqrt{3^{2}.3.2x^{2}}[/tex] we can take out the ones with exponent from the root
[tex]3x\sqrt{3.2} \\= 3x\sqrt{6}[/tex]