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.