Square Roots & Pythagorean Theorem

Square Roots

100

√25

5

200

√961

31

300

√(x²y⁸)

xy⁴

400

Simplify: √125

5√5

500

√(1296x²⁴)

36x¹²

Estimation

100

Estimate the square root of 20:

≈ 4.5

200

What is the square of 26?

676

300

Estimate the square root of 224:

≈ 15

400

What is the square of 9.5?

90.25

500

Estimate the square root of 300:

≈ 17.3

Tricky Roots & Ordering

100

Which value is greater?

3√3 or 2√6

3√3

200

√(12 * 27)

18

300

√(125 * 20)

50

400

√60 * √15 * 7

210

500

Order the following from least to greatest:

√65,  8,  4√3,  7√1

4√3,  7√1,  8,  √65

Pythagorean Theorem

100

A right triangle has side lengths 4 and 3. What is the length of its hypotenuse?

5

200

If the length of the hypotenuse of a right triangle is 13 and the length of one of its legs is 5, what is the length of its other leg?

12

300

If a triangle has the following leg lengths, is it a right triangle?

2, 3, 4 

No

400

What is the length of the hypotenuse of a triangle with leg lengths 7 and 24?

25

500

What is the height of a triangle with base length √2 and hypotenuse length 2?

√2

Miscellaneous

100

When is pi day?

3/14

200

Unscramble:

cylir

lyric

300

What is the cube root of 1000?

10

400

Who won the 2018 FIFA World Cup?

France

500

Where is the Burj Khalifa?

Dubai