We have,Let the large number is ={x}Square of smaller number is =8 {x}Now, According to given question,​x2−8x=180⇒x2−8x−180=0⇒x2−(18−10)x−180=0⇒x2−18x+10x−180=0⇒x(x−18)+10(x−18)=0⇒(x−18)(x+10)=0⇒x−18=0,x+10=0⇒x=18,x=−10⇒x=−10,18​ Either x=−10 and x=18 x=18 is true (Positive value)Now, square of small number​=18x=18×8=144144​=12​ Hence, this is the answer.