Answer:
The simplified form of the given expression is 13.
Step-by-step explanation:
The given expression is
[tex]\sqrt{169}[/tex]
It can be written as
[tex]\sqrt{13\times 13}[/tex]
[tex]\sqrt{13^2}[/tex]
[tex](13^2)^{\frac{1}{2}}[/tex] [tex][\because \sqrt{x}=x^{\frac{1}{2}}][/tex]
[tex]13^{\frac{2}{2}}[/tex] [tex][\because (x^m)^n=x^{mn}][/tex]
[tex]13^{1}[/tex]
[tex]13[/tex]
Therefore the simplified form of the given expression is 13.