What is the value of √(18-6)^2+(17-1)^2

Answer:
20
Step-by-step explanation:
sqrt((18-6)^2+(17-1)^2)
Inside parentheses first
sqrt((12)^2+(16)^2)
Then square inside the parentheses
sqrt(144+256)
Sqrt(400)
Taking the square root
20
[tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \sqrt{{(12)}^{2}+ {(16)}^{2}} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \sqrt{144+ 256} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \sqrt{400} }[/tex]
[tex]\quad \quad \quad \quad\tt{ = 20}[/tex]
[tex]\quad \quad \quad \quad \huge\boxed{ \tt{ \color{green}20}}[/tex]
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