Answer:
Step-by-step explanation:
[tex]18\sqrt{8}-8\sqrt{18}=\sqrt{n}\\ \\ 36\sqrt{2}-24\sqrt{2}=\sqrt{n}\\ \\ 12\sqrt{2}=\sqrt{n}\\ \\ \sqrt{288}=\sqrt{n}\\ \\ n=288[/tex]
Value of [tex]n = 288[/tex] as per the given equation.
" Equation is defined as the relation between variables as per given condition using sign of equality."
According to the question,
Given equation,
[tex]18\sqrt{8} -8\sqrt{18} =\sqrt{n}[/tex]
Simplify the given equation to get the value of [tex]n[/tex] ,
[tex]18\sqrt{2^{2}\times 2} -8\sqrt{3^{2} \times 2}=\sqrt{n} \\\\\implies 18\times 2\sqrt{2} -8\times 3\sqrt{2} =\sqrt{n} \\\\\implies 36\sqrt{2}-24\sqrt{2}=\sqrt{n}\\\\\implies (36-24)\sqrt{2}=\sqrt{n}\\\\\implies 12\sqrt{2}=\sqrt{n}\\\\\implies \sqrt{288}=\sqrt{n}\\\\\implies n = 288[/tex]
Hence, value of [tex]n = 288[/tex] as per the given equation.
Learn more about equation here
brainly.com/question/10413253
#SPJ2
