Mathematics: Find the distance between the two points. ✓ [?]Enter the number thatgoes beneath theradical symbol.

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Find the distance between the two points. ✓ [?]Enter

pablogonzaleztellez

10.02.2022

$\mathrm{Distance\:between\:}\left(-2,\:3\right)\mathrm{\:and\:}\left(2,\:4\right)=\sqrt{17}$

Step-by-step explanation:

Given the points

(-2, 3)(2, 4)

Finding the distance between the points (-2, 3) and (2, 4) is

$\mathrm{The\:distance\:between\:}\left(-2,\:3\right)\mathrm{\:and\:}\left(2,\:4\right)\mathrm{\:is\:}$

$=\sqrt{\left(2-\left(-2\right)\right)^2+\left(4-3\right)^2}$

$=\sqrt{\left(2+2\right)^2+\left(4-3\right)^2}$

$=\sqrt{4^2+1}$

$=\sqrt{16+1}$

$=\sqrt{17}$

Therefore, the distance between the points (-2, 3) and (2, 4):

$\mathrm{Distance\:between\:}\left(-2,\:3\right)\mathrm{\:and\:}\left(2,\:4\right)=\sqrt{17}$

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