Estimating Square Roots 1
Estimating Square Roots
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Application
500

Simplify √16

What is 4

500

Between which 2 integers is the value of 3√40

What is 18 & 19

500

What is the square root of 324

18

500

If a square has an area of 140 square inches, between which two consecutive whole numbers is the length of its side?

11 and 12 inches

500

Simplify √1600

40

500

Between which 2 integers is the value of √250

What is 15 & 16

500

Square root of 10,000

100

500

A right-angled triangle has two legs with lengths of 5 cm and 9 cm. What's the approximate length of the hypotenuse? (Recall the Pythagorean theorem)

sqrt(106) or 10.3

500

Simplify √160

What is 4√10

500

Between which 2 integers is the value of √160

What is 12 & 13

500

What is the square root of 961

31

500

A circular tablecloth has an area of 22 square feet. The radius of the tablecloth is the square root of its area divided by π. Approximately how long is the radius? (Use 3.14 for π)

sqrt(7.01) or 2.7 feet

500

simplify 5√16000

What is 200√10

500

Between which 2 integers is the value of √10

What is 3 & 4

500

What is the square root of 561

24

500

A square garden has an area of 75 square meters. What's the approximate length of one side of the garden?

√75

500

√160000000000000000

400000000

500

Between which 2 integers is the value of -2√101

What is -20 & -21

500

square of the current value of points if you get this question right.

2,500

500

An astronomer is calculating the distance to a star. Part of the calculation requires finding the square root of 350. between which two consecutive whole numbers is the length of its side?  

18 and 19

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