Question

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

Answer 1

The answer to your question is 5
`√(2)`

Explanation:

Data

Area = 50 in²

Length = ?

- Formula

Area of a square = L x L or Area = L²

- Substitution

50 = L²

- Simplification

L =
`√(50)`-

- Find the prime factors of 50

50 2

25 5

5 5

1

50 = 2 x 5²

- Express the result as A√B.

`√(50) = \sqrt{2 x 5^(2)}`

= 5
`√(2)` Only 5 can be out of the square root.