Respuesta :

Answer:

The answer to your question is 28 =  2[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Data

square [tex]\sqrt{28}[/tex]

Process

1.- Find the prime factor of 28

                            28 2

                              14 2

                                7 7

                                  1

         28 = 2 x 2 x 7   or 28 = 2² x 7

2.- Write the prime factors inside the square root

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

3.- Express the square root as fractional powers

                         2²/² 7¹/²

4.- Simplify

                        2 7¹/²

5.- Express 7¹/² as square root

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

   

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