Introduction to Radicals

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Show your work for each problem.

1.
What is ?
1. a)2
2. b)32
3. c)4
4. d)8
2.
Calculate
3.
In the expression , what is the radicand?
1. a)7
2. b)49
3. c)The square root symbol
4. d)2
4.
Find the value of
5.
What is ?
6.
Which of the following is NOT a perfect square?
1. a)50
2. b)49
3. c)64
4. d)36
7.
If , find the value of .
8.
Calculate
9.
Between which two consecutive integers does lie?
10.
What is the value of ?
1. a)12
2. b)3 + 4 = 7
3. c)5
4. d)25
11.
If , what is the positive value of ?
12.
A square has an area of 196 square centimeters. What is the length of one side?
13.
What is the value of ?
1. a)25
2. b)5
3. c)-25
4. d)-5
14.
A right triangle has legs of length 6 and 8. Find the length of the hypotenuse using the Pythagorean theorem.
15.
If , what is the value of ?
16.
A rectangular field is 80 meters long and 60 meters wide. What is the length of the diagonal path across the field?