Respuesta :

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

Problem:

What is the value of:

[tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]

Let's try!

[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]

Hence, The answer is:

[tex]\quad \quad \quad \quad \huge\boxed{ \tt{ \color{green}20}}[/tex]

________

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