Download HW 76/77

Algebra 1 CC
Assignment #76
Square Roots
1. Simplify each of the following. Each will result in a rational number answer. You can check your work using your
calculator, but should try to do all of them without it.
(b) − 4
36
(a)
(c)
81
36
1
16
(d) −
(e) − 144
2. Find the final, simplified answer to each of the following by evaluating the square roots first. Show the steps that lead
to your final answers.
9 + 25 − 64
(a)
(b) 5 4 + 2 81
(d)
1
4
(
121 − 9
)
3. Find each of the following products by first multiplying the radicands (the numbers under the square roots).
(a)
2 ⋅ 50 =
(b)
3 ⋅ 12 =
(c) 5 6 ⋅ 24 = (d)
1
1
⋅
=
2 18
4. Write each of the following in simplest radical form. Show the work that leads to your answer.
(a)
162 =
(b)
(c) − 90 =
(d)
20 =
48 =
(e) − 8 = (f)
300 =
5. Write each of the following products in simplest radical form.
(a) 3 12 =
(b) 4 45 =
(c)
1
32 =
2
(d) −2 288 =
--------------------------------------------------------------------------------------------------------------------------------------------------Algebra 1 CC
Assignment #77
Irrational Numbers
1. For each of the following rational numbers, use your calculator to write out either the terminating decimal or the
repeating decimal patterns.
(a)
(e)
3
4
(b)
25
4
(f)
4
9
(c)
1
100
(g)
2. One of the most famous irrational numbers is the number pi,
and area of a circle.
5
8
(d)
4
9
(h)
5
6
2
32
π , which is essential in calculating the circumference
(a) Use your calculator to write out all of the decimals your calculator gives you for π . Notice no repeating pattern.
(b) Historically the rational number
22
has been used to approximate the value of π . Use your calculator to write
7
out all of the decimals for this rational number and compare it to (a).
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Assignment #76
4. (a) 9 2
1. (a) 6
(b) -2
(c)
(b) 5 5
(c) −3 10
3
2
(d) 4 3
(e) −2 2
1
(d) −
4
(f) 3 10
(e) -12
2. (a) 0
(b)28
(d) 2
3.
5. (a) 6 2
(b) 12 3
(c) 2 2
(a) 10
(b) 6
(c) 60
(d)
(d) −24 2
1
6
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Assignment #77
1. (a) .75
(b) .4
(c) 0.625
(d) .83
(e) 2.5
(f) .1
(g) 0.6
(h) 0.25
2. (a) 3.141592654
(b) 3.142857143
Based on the thousandths place
22
>π
7