SIMPLIFYING RADICAL EXPRESSIONS WORKSHEET

Simplify the radical expression using the definition.

1) √(4(y - 1)²) Solution

2) ∛(-8x³y⁶) Solution

3) 5^th root (2x - 1)⁵ Solution

4) ∜(16x⁸) Solution

5) ∛(-27x³) Solution

6) ∜(16a¹²y²) Solution

7) √x / ∛x Solution

8) √(∛x) Solution

9) √(x+7)√(x-7) Solution

10) √50 Solution

Simplify radical expressions

1) 3√6 - 4√6

2) -3√7 + 4√7

3) -11√21 - 11√21

4) -9√15 + 10√15

5) -10√7 + 12√7

6) -3√17 - 4√17

7) -10√11 - 11√11

8) -2√3 + 3√27

9) 2√6 - 2√24

10) 2√6 + 3√54

11) -√12 + 3√3

12) 3√3 - √27

13) 3√8 + 3√2

14) -3√6 + 3√6

Practice on adding and subtracting radicals.

1) 5√6 + 3√6

2) 4√20 - 2√5

3) 3√(32x²) + 5x√8

4) 7√4x² + 2√25x - √16x

5) 5∛x²y + ∛27x⁵y⁴

6) 3√9y³ - 3y√16y + √25y³

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