Chapter 11

11.1-11.2

200

What number is in between 26/443 and 80/326 in simplest form?

1040/72,209

300

What symbol (<,>,=) should go in the blank?

323,261,733,216,474/646,523,466,432,946_1/2

>

400

Arrange this set of numbers from least to greatest:

9/40, 6/20, 1/5

1/5, 9/40, 6/20

500

If x ∈ (1,2,3,4), state whether the fraction increases or decreases in value as x takes on its value in increasing order.

4/x+3

Decreases

2147483647

Express this rational number as a fraction:

2.082341...

2082341/999999

11.3-11.4

200

What is the square root of 126,736?

356

300

Simplify the square root of 704.

8√11

400

Simplify the square root of 256.

16

500

What is a radicand?

The symbol written beneath a radical sign.

2147483647

Approximate the negative square root of 864 to the nearest tenth.

-29.39

11.5-11.6

200

Simplify:

√2,250,000x¹²x⁶x⁸x⁴x¹⁶x⁴x¹⁴

1,500x³²

300

Simplify:

-√441x2y2

-21xy

400

Does the following set of numbers represent the lengths of the sides of a right triangle?

6,8,10

Yes

500

Solve with both answers:

x²=256

(16,-16)

2147483647

Simplify:

√529x⁸/36

23x⁴/6

11.7-11.8

200

√9(5-√9)

6

300

Solve:

√4/5 ∗ √125/4

5

400

Solve:

3√9 ∗ 2√9

54

500

Simplest form of a radical when the following are true:

1.) No integral radicand has a perfect square other than 1

2.) No fractions are under a radical sign

3.) ?

No radicals are in the denominator

2147483647

8√2-7√50

-27√2

11.9-11.10

200

Rationalize the denominator:

8/5√9+3

4/9

300

Simplify (4 square root 6 - 3 square root 2)(6 square root 6 - 2 square root 2).

156 - 52 square root 3

400

Solve for x when the square root of x = 6 square root 3

x = 108

500

Solve for y if the square root of y = 225

15

2147483647

Solve for x:

14=√380x+6

x = 2