Radicals and the Pythagorean Theorem #1
Name ______________________________________ Period ________
Date __________________
Show all work and answers in your homework notebook.
1. List every perfect square greater than 50 and less than 200.
2. Convert the following radicals to an integer or fraction:
a)
289
529
b)
1936
c)
1
4
d)
3. Fill in the missing blanks:
a) 4 3  4  4  4  ________ and
3
64  ________
b) 7 4  ______ ______ ______ ______  ______ and
4. Consider the following set of numbers:
 2,  3,
16 ,
4
2401  ______
2
, 3.141,
7
5

Which numbers from the set are a) integers, b) rational, and c) irrational?
5. Simplify the following radicals:
a)
48
45
b)
c)
98
200
d)
e)
76
6. If a 2  b 2  c 2 , then find the value of the unknown variable. Simplify radicals.
a) a = 12, b = 16, c = ______
b) a = 7, b = ______, c = 25
c) a = ______, b = 35, c = 37
d) a = 6, b = 10, c = ______
7. Find the length of the missing side in each right triangle. Simplify radicals (no decimals).
5
a)
b)
x
6
x
13
8
12
c)
d)
8
x
6
4 3
x