Math 8B: Post Test: Roots

Drag each tile to the correct box. Arrange the expressions in increasing order of their estimated values.

1. square root of 24 - square root of 54 / square root of 6 2. (square root of 9/20) x (10 x square root of 2 / 3 x square root of 5) 3. (10pi x square root of 2) - (8pi x square root of 2) / 2 x square root of 2 4. (pi x the square root of 3/5) x (pi x 5/3

Between which values does the square root of 111 lie? A. 7 and 8 B. 8 and 9 C. 9 and 10 D. 10 and 11 E. 11 and 12

10 and 11

____ What is the fractional form of 0.02? A. 2/99 B. 1/11 C. 2/100 D. 1/12

2/99

What is the simplified form of (4pi x square root of 5 - 2pi x square root of 5 / 3 x square root of 5? A. 2pi / 3 B. 3pi / square root of 5 C. 2pi / square root of 10 D. 2pi / 3 x square root of 5

2pi/3

A cube has 54 colored stickers across all six of its faces. Each face has the same number of stickers in the same format. On each face, each column and row has the same number of stickers. The number of stickers in each row and column is___________

3

Which two rational numbers does the square root of 14 lie between? A. 19/6 and 22/7 B. 3.17 and 3.71 C. square root of 4 and square root of 9

3.70 and 3.75

Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters? A. 19 B. 29 C. 30 D. 31

31

What is the approximate value of 2pi - square root of 3 A. 0.14 B. 0.28 C. 3.28 D. 4.55 E. 4.78

4.55

Which set of numbers is arranged in decreasing order? A. 6.82, 2pi, square root of 37, 55/9 B. 2pi, 55/9, 6.82, square root of 37 C. 6.82, 2pi, 55/9, square root of 37 D. 2pi, 6.82, square root of 37, 55/9

6.82, 2pi, 55/9, square root of 37

If a=0.3 and b=0.5, what is the value of a + B? A.8/10 B. 8/9 C. 80/99 D. 88/100

8/9

Drag each number to the correct location on the table. Classify the real numbers as rational or irrational numbers.

Rational Numbers: square root of 400 -5/250 5.012121212 Irrational Numbers: 0.01562138411... square root of 1,000 cubic of 30

Drag the tiles to the correct boxes to complete the pairs. Match the irrational numbers with their positions on the number line.

between 4.47 and 4.48 >>>> square root of 20 between 4.35 and 4.36 >>>> square root of 19 between 4.12 and 4.13 >>>> square root of 17 between 4.79 and 4.80 >>>> square root of 23

This square has the hypotenuse of a right triangle as one of its sides. The estimated value of the length of the hypotenuse is______________units. The estimated value of the area of the square is_______________square units. (Hint: The hypotenuse is the side opposite the right angle. To find the hypotenuse of a right triangle, use the Pythagorean Theorem, c^2= a^2 + b^2.)

first blank: 1.41 second blank: 1.99

The number 72 lies between the perfect squares_________________. So, the square root of 72 lies between the numbers_________________, which means the square root of 72 is_________________number.

first blank: 64 and 81 second blank: 8 and 9 third blank: an irrational

Two sides of a right triangle measure inches and inches, and the third side measures the square root of 61 inches. The length of the third side is about________________inches. The perimeter of the triangle is about_________________inches.

first blank: 7.8 second blank: 18.8

Bob uses two sizes of square tiles, tile A and tile B, to tile his bathroom. The area of tile A is 20 square inches, and the area of tile B is 24 square inches. The length of tile_____________is greater than the length of tile______________by approximately_______________inches

first blank: B second blank: A third blank: 0.43