Repeating Dec. to Fract.
Is it rational?
Approx. Square Roots
Square & Cube Roots
Square & Cube Root Equations
100

0.777....

7/9

100

-2 3/4

Yes; all whole numbers and fractions are rational.

100

Approximate

sqrt(35)

 to the nearest tenth.

5.9
100

sqrt(25)

5

100

Find the value of x. 

x^2 = 100

x=+-10

200

0.636363...

63/99

200

0.4234805...

No; the decimal does not repeat or terminate.

200

Approximate 

sqrt(83)

to the nearest tenth.

9.1

200

Cube root of 27

3

200

Find the value of x. 

x^3=64

x=4

300

0.2666...

24/90

300

sqrt(196)

Yes; 196 is a perfect square. 

sqrt(196)=13

300

Approximate

sqrt(22)

 to the nearest tenth.

4.7

300

sqrt(169)

13

300

Find the value of x.

x^2=81

x=+-9

400

0.8111...

73/90

400

0.17171717...

Yes; repeating & terminating decimals are rational.
400

Approximate

sqrt(12)

 to the nearest tenth.

3.5

400

Cube root of 729

9

400

Find the value of x.

x^3=-343

x=-7

500

3.7444...

3 67/90

500

sqrt(110)

No; 110 is not a perfect square.

500

Approximate

sqrt(59)

 to the nearest tenth.

7.7

500

Cube root of 216

6

500

Mrs. Drew wants to build a square sandbox with an area of 144 square feet. What would the length of one side of the box be? 

12 feet