Answer:
[tex]20x^{50}[/tex]
Step-by-step explanation:
WE need to find the simplified form of
[tex]\sqrt{400x^{100}}[/tex]
We take square root separately
[tex]\sqrt{400}=\sqrt{20*20}=20[/tex]
We know x^(m+n) x^m * x^n
x^100 can be written as x^50+50 = x^50 * x^50
[tex]\sqrt{x^{100}}=\sqrt{x^{50}*x^{50}}=x^{50}[/tex]
so, [tex]\sqrt{400x^{100}}= 20x^{50}[/tex]
