SIMPLIFYING RADICALS WORKSHEET

Problem 1 :

What is√32 expressed in simplest radical form ?

1)  16√2        2)  4√2      3)  4√8       4)  2√8

Solution

Problem 2 :

The expression √50 can be simplified to

1)  5√2       2)  5√10       3)  2√25      4)  25√2

Solution

Problem 3 :

What is√72 expressed in simplest radical form ?

1)  2√18      2)  3√8         3)  6√2       4)  8√3

Solution

Problem 4 :

When√72 is expressed in simplest a√b form, what is the value of a ?

1)  6       2)  2       3)  3          4)  8

Solution

Problem 5 :

The expression √150 is equivalent to

1)  25√6      2)  15√10      3)  5√6       4)  6√5

Solution

Problem 6 :

When 5√20 is written in simplest radical form, the result is k√5. What is the value of k ?

1)  20      2)  10         3)  7        4)  4

Solution

Problem 7 :

What is 2√45 expressed in simplest radical form ?

1)  3√5       2)  5√5      3)  6√5     4)  18√5

Solution

Problem 8 :

Which expression is equivalent to 7√90 ?

1)  16√10   2)  21√10     3)  70√10      4)  √630

Solution

Problem 9 :

What is 3√250 expressed in simplest radical form ?

1)  5√10    2)  8√10     3)  15√10    4)  75√10

Solution

Problem 10 :

What is√32/4 expressed in simplest radical form ?

1)  √2     2)  4√2      3)  √8       4)  8√2

Solution

Problem 11 :

Simplify :√12

Solution

Problem 12 :

Simplify :√75

Solution

Problem 13 :

Simplify :√128

Solution

Problem 14 :

Simplify : 3√27

Solution

Problem 15 :

Express -3√48 in simplest radical form.

Solution

Problem 16 :

Express 5√72 in simplest radical form.

Solution

Problem 17 :

Express 4√75 in simplest radical form.

Solution

Problem 18 :

Express 2√108 in simplest radical form.

Solution

Problem 19 :

Theo determined that the correct length of the hypotenuse of the right triangle in the accompanying diagram is√20. Fiona found the length of the hypotenuse to be 2√5. Is Fiona ‘ s answer also correct ? justify your answer.

Solution