Distance and Radicals

Simplify the given radical : √24

• 4√6

• 2√6

• 4.9

• 2√12

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the following radical: √32

• 5.7

• 4√8

• 16√2

• 4√2

Tags

CCSS.HSN.RN.A.2

Simplify the given radical : √72

• 8.5

• 3√8

• 6√2

• 3√4

Calculate the distance between the points: (-3, -4) and (5, 5). Give your answer in simplest radical form.

• 11.8

• $\sqrt{145}$

• 12

• 5 $\sqrt{29}$

Find the exact distance between each pair of points.

(-3, 5), (5, -5)

• A

• B

• C

• D

Find the exact distance between each pair of points.

(-1, 4), (5, -1)

• A

• B

• C

• D

Find the distance between (2,8) and (1,3).

• $\sqrt{130}$

• $\sqrt{26}$

• 6

• $\sqrt{52}$

Tags

CCSS.HSG.GPE.B.7

Find the exact length between the points (-4, 3) and (-8, 1).

• 20

• $2\sqrt{5}$

• $5\sqrt{2}$

• $2\sqrt{10}$

How is the distance formula correctly written:

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

• $d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

• $d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

• d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

Tags

CCSS.HSG.GPE.B.7

A(2,0) B(-2,4) is written as

• $d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$

• $d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$

• $d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$

• $d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$

Tags

CCSS.HSG.GPE.B.7