Question

Answer all of these questions and explain all the answers. Worth 50 points. Plz answer exactly. Thx so much plz help soon due Monday.

Answer 1

1. √99 and √21 are irrational. √225 = 15, so is rational. Set c has all rational numbers.

2. √3 and π are the only irrational numbers in the group.

3. In decimal form, these numbers are approximately

... 2.45, 2.50, -1.00, 3.50, 3.33

In order from least to greatest, they are

... -√1, √6, 2 1/2, 3 1/3, 7/2 . . . . . . (How do you cut ribbon to length -1?)

4. You can solve these by taking the corresponding root. Remember that the square of a negative number is positive. It is helpful to know the squares and cubes of small integers. Your calculator can also help with this, though you have to know that (-13)² = 169 as well as 13² = 169.

a) x = ±√169 = ±13

b) x = ∛-125 = -5

Answer 2

1. √99 and √21 are irrational. √225 = 15, so is rational. Set c has all rational numbers.

2. √3 and π are the only irrational numbers in the group.

3. In decimal form, these numbers are approximately

... 2.45, 2.50, -1.00, 3.50, 3.33

In order from least to greatest, they are

... -√1, √6, 2 1/2, 3 1/3, 7/2 . . . . . . (How do you cut ribbon to length -1?)

4. You can solve these by taking the corresponding root. Remember that the square of a negative number is positive. It is helpful to know the squares and cubes of small integers. Your calculator can also help with this, though you have to know that (-13)² = 169 as well as 13² = 169.

a) x = ±√169 = ±13

b) x = ∛-125 = -5