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Lesson 2: Square Roots
Exercises 1–4
1.
Determine the positive square root of 81, if it exists. Explain.
2.
Determine the positive square root of 225, if it exists. Explain.
3.
Determine the positive square root of −36, if it exists. Explain.
4.
Determine the positive square root of 49, if it exists. Explain.
Discussion – Place the following numbers on the number line below. Estimate the solutions to one decimal
place. SHOW ALL WORK
a.
√1
e.
√2
g.
√5
b.
√4
f.
√3
h.
√6
c.
√16
i.
√7
d.
√25
j.
√8
Exercises 5–9
Determine the positive square root of the number given. If the number is not a perfect square, determine which integer
the square root would be closest to, then use “guess and check” to give an approximate answer to one or two decimal
places.
5.
√49
6.
√62
7.
√400
8.
√122
9.
Which of the numbers in Exercises 5–8 are not perfect squares? Explain.
Problem Set
Determine the positive square root of the number given. If the number is not a perfect square, approximate the answer
to one or two decimal places.
1.
√169
2.
√256
3.
√81
4.
√147
5.
√8
6.
Which of the numbers in Problems 1–5 are not perfect squares? Explain.
7.
Place the following list of numbers in their approximate locations a number line then give their approximate
solutions to one or two decimal places.
√32 =
√12 =
√27 =
√18 =
√23 =
√50 =
8.
Between which two integers will √45 be located? Explain how you know.