Answer:The Geometric Mean of 4 and 12 is 6.9Step-by-step explanation:Given Numbers are 4 and 12To find : Geometric mean of the given No.The Geometric Mean is a type of average where we multiply the nos. together and then take a square root (for two nos), cube root (for three nos) etc.Formula for Geometric Mean is given by,[tex]Geometric\,Mean\,of\,x_1\,,\,x_2\,,\,x_3..x_n=\sqrt[n]{x_1\times x_2\times x_3\times\,...\,\times x_n}[/tex]⇒ Geometric Mean of 4 and 12 = [tex]\sqrt{4\times12}[/tex] = [tex]\sqrt{48}[/tex] = [tex]4\sqrt{3}[/tex] = 6.92820323028
= 6.9Therefore, The Geometric Mean of 4 and 12 is 6.9