Find the Distance Between Two Points ( square root of 4,2) , (7,1)

$(\sqrt{4}, 2)$ , $(7, 1)$

Rewrite $4$ as $2^{2}$ .

$(\sqrt{2^{2}}, 2) - (7, 1)$

Pull terms out from under the radical, assuming positive real numbers.

$(2, 2) - (7, 1)$

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Substitute the actual values of the points into the distance formula.

$\sqrt{{(7 - 2)}^{2} + {(1 - 2)}^{2}}$

Simplify.

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Subtract $2$ from $7$ .

$\sqrt{5^{2} + {(1 - 2)}^{2}}$

Raise $5$ to the power of $2$ .

$\sqrt{25 + {(1 - 2)}^{2}}$

Subtract $2$ from $1$ .

$\sqrt{25 + {(- 1)}^{2}}$

Raise $- 1$ to the power of $2$ .

$\sqrt{25 + 1}$

Add $25$ and $1$ .

$\sqrt{26}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{26}$

Decimal Form:

$5.09901951 \dots$

Find the Distance Between Two Points ( square root of 4,2) , (7,1)

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