Respuesta :

The square root of 169 is 13 because 13X13 equals to 169.

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.