A piece of fabric is in the shape of a square. The area measures 50 square inches. Find the length of one side of the piece of fabric. Write your answer in the form A√B

Respuesta :

Answer:

The answer to your question is 5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Data

Area = 50 in²

Length = ?

- Formula

Area of a square = L x L or Area = L²

- Substitution

                 50 = L²

- Simplification

                 L = [tex]\sqrt{50}[/tex]-

- Find the prime factors of 50

                 50  2

                 25  5

                    5 5

                     1

          50 = 2 x 5²

- Express the result as A√B.

          [tex]\sqrt{50} = \sqrt{2 x 5^{2}}[/tex]

                 = 5[tex]\sqrt{2}[/tex]     Only 5 can be out of the square root.

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