 Distance Formula, Pythagorean Theorem & Simplifying Radicals
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misspenkalski
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• Question 1
300 seconds
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Q.

Use the distance formula to find the length between the two given points:
$\left(3,6\right)$  and  $\left(8,11\right)$

$\sqrt{10}$

$5\sqrt{2}$

$2\sqrt{5}$

$2\sqrt{17}$

• Question 2
300 seconds
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Use the distance formula to find the length between the two given points:

$2\sqrt{10}$

$4\sqrt{10}$

$10\sqrt{2}$

$2\sqrt{2}$

• Question 3
300 seconds
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Q.

Use the distance formula to find the length between the two given points:
$\left(-4,-3\right)$  and  $\left(3,4\right)$

$\sqrt{14}$

$\sqrt{2}$

$2\sqrt{7}$

$7\sqrt{2}$

• Question 4
300 seconds
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Q.

Use the distance formula to find the length between the two given points:
$\left(0,8\right)$  and  $\left(6,0\right)$

$2\sqrt{7}$

$\sqrt{10}$

$10$

$2$

• Question 5
300 seconds
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Q.

Use the distance formula to find the length between the two given points:
$\left(1,2\right)$  and  $\left(-4,5\right)$

$\sqrt{34}$

$17$

$2\sqrt{17}$

$4$

• Question 6
300 seconds
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Q.

Which pair of radicals would you use to simplify  $\sqrt{60}$  ?

$\sqrt{2}$  and $\sqrt{30}$

$\sqrt{3}$  and  $\sqrt{20}$

$\sqrt{4}$  and  $\sqrt{15}$

$\sqrt{6}$  and  $\sqrt{10}$

• Question 7
300 seconds
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Find the length of the missing side using the Pythagorean Theorem.

$\sqrt{42}$

$21$

$9\sqrt{29}$

$3\sqrt{29}$

• Question 8
300 seconds
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Find the length of c using the Pythagorean Theorem.

$30$

$10\sqrt{9}$

$9\sqrt{100}$

$2\sqrt{21}$

• Question 9
300 seconds
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Q.

Simplify the square root completely:  $5\sqrt{18}$

$45$

$15\sqrt{2}$

$8\sqrt{2}$

$10\sqrt{3}$

• Question 10
300 seconds
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Q.

Simplify the square root completely:  $\sqrt{96}$

$8\sqrt{6}$
$2\sqrt{24}$
$4\sqrt{6}$
$48$