SIMPLEST RADICAL FORM WORKSHEET

Problem 1 :

What is √45 in simplest form?

a. 5√3     b. 9√5     c. 3√5     d. 15√3

Solution

Problem 2 :

What is √90x⁵ y⁴ in simplest radical form?

a. 10x²y² √9x       b. 9x³y² √10x²y²

c. 3x²y² √10x        d. 18x⁴y³ √5xy

Solution

Problem 3 :

Which radical expression when expressed in simplified form is 3√13?

a. √16     b. √39      c. √117      d. √507

Solution

Problem 4 :

Which value could replace the? to make the expression true?

√12a⁶b³ = 2a³b√?

a. 6b²       b. 3b      c. 4a³b²     d. 3a²b

Solution

Problem 5 :

For what value of x does ∛x simplify to 4∛5?

a. 20     b. 80      c. 320     d. 460

Solution

Problem 6 :

If y³ = -56, what is the value of y?

a. -2∛14    b. -8∛7     c. -2∛7     d. -7∛8

Solution

Problem 7 :

Write the radical expression ∛-216 in simplest form.

Solution

Problem 8 :

Which value could replace the? To make expression true?

∛486 = 3∛?

Solution

Problem 9 :

∛24 - 7√3

Solution

Problem 10 :

8√2 + 3√8

Solution

Problem 11 :

(-5√36) (3√2)

Solution

Problem 12 :

(3a²√3) (a√12)

a. 3a³√15    b. 18a³    c. 4a⁴√12    d. 9a³√2

Solution