OPERATIONS WITH EXPONENTS AND RADICALS WORKSHEET

Problem 1 :

Which is equivalent to 493/2 ?

A.  21

B.  98

C.  294

D.  343

Solution

Problem 2 :

Which expression is another way to write ∛125x4 ?

A.  5x3/4

B.  5x4/3

C.  25x3/4

D.  25x4/3

Solution

Problem 3 :

If x and y are real numbers, what is the simplified radical form of (x2y5)1/5 ?

A. y5x2
B. yx5
C. |y|5x2
D. |y|x5

Solution

Problem 4 :

What is the simplified expression of √(36x8/4x6) ?

A.  3x

B.  9x

C.  3x2

D.  9x2

Solution

Problem 5 :

What is the simplified form of (2√5 + 3) (√5 - 1) ?

A.  √5 - 3

B.  √5 + 7

C.  2√5 - 3

D.  2√5 + 7

Solution

Problem 6 :

What is the sum of 1325 and 12327 ?
A. 221
B. 730
C. 233
D. 1190

Solution

Problem 7 :

The area of a square is 2√2 + 3. What is the length of a side of the square ?

A.  √2 - 1

B.  √2 + 1

C.  2√2 - 1

D.  2√2 + 1

Solution

Problem 7 :

Which expression is equivalent to √-6(√-4 - √3) ? 

A.  2√6 + 3√2

B.  -24 - 6i√3

C. 2√6 - 3i√2

D. -2√6 - 3i√2

Solution

Answer Key

1)  343

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