Pythagoras
Distance between two points
Simplifying Radicals
Add/Subtract Radicals
Multiply/Divide Radicals
100

A triangle has the sides 3, 4, and 5. Is it a right-triangle?

Yes

100

Find the distance between (0, 6) and (0, 9).

3 units

100

Simplify the following radical:

√144

12

100

4√2 + 3√2 - √2 = ?

6√2

100

√3 x √7 = ?

√21

200

A triangle has a hypotenuse of 13 cm and a leg of 5 cm. What is the length of the other leg?

12 cm

200

Find the distance between (1, 2) and (4, 6).

5 units

200

Simplify the following radical:

√900

30

200

5√3 - 8√5 + 9√3 + 2√5 = ?

14√3 - 6√5

200

√63 ÷ √7 = ?

3

300

The two legs of a right-triangle have lengths of √31 and 3√10. What is the length of the hypotenuse?

11

300

Find the distance between (-4, 2) and (4, -4).

10 units

300

Simplify the following radical:

√80

4√5

300

√12 + √300 = ?

12√3

300

3√5 x 2√5 = ?

30

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