Respuesta :

Recall following property of radicals:

[tex]\sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b}[/tex]

Since 28 can be factorized as:

[tex]2^2\cdot7[/tex]

Use the property previoulsy mentioned to rewrite the square root of 28:

[tex]\begin{gathered} \sqrt[]{28}=\sqrt[]{2^2\cdot7} \\ =\sqrt[]{2^2}\cdot\sqrt[]{7} \\ =2\cdot\sqrt[]{7} \end{gathered}[/tex]

Therefore, the simplest radical form of the square root of 28, is:

[tex]2\cdot\sqrt[]{7}[/tex]