Sqares
Square Roots
Estimating Square Roots
Pythagorean Theory
100

72

49

100

What is √25?

5

100

Is √50 closer to 7 or 8?

7

100

In a right triangle, the two legs are 3 cm and 4 cm. What is the hypotenuse?

5cm

200

122

144

200

Evaluate √144.

12

200

Estimate √75 to the nearest whole number.

9

200

A right triangle has legs of 5 m and 12 m. Find the hypotenuse.

13m

300

If a square has a side length of 15 cm, what is its area?

225cm2

300

What is √(64 + 36)?

10

300

Between which two consecutive whole numbers does √120 fall?

10 and 11

300

In a right triangle, one leg is 6 inches and the hypotenuse is 10 inches. Find the other leg.

8 inches

400

Which of these is NOT a perfect square: 64, 81, 100, or 110?

110

400

f √x = 9, what is the value of x?

81

400

Estimate √200 to the nearest tenth.

14.1 or 14.2

400

A ladder leans against a wall. The ladder is 13 feet long, and the base is 5 feet from the wall. How high up the wall does the ladder reach?

12 feet

500

A square garden has an area of 196 m². What is the length of one side?

14

500

√729

27

500

Without a calculator, explain why √300 must be between 17 and 18.



Because 17² = 289 and 18² = 324, and 289 < 300 < 324.

500

A rectangular field is 40 meters long and 30 meters wide. What is the distance across the diagonal?

50 m