Name: ___________________________________________ Date: _____________________________ BLM 5–4

Section 5.1 Extra Practice 1. Express each radical as a simplified mixed radical.

6. Simplify each expression. Identify any restrictions on the values of the variables.

a)

54

a) 3 x − 4 x + x

b)

350

b)

x5 + 9 x5

c)

98 x 2 , x ≥ 0

c)

9 x + x3 − 4 x − x 9 x

d)

363 x5 y 3 , x ≥ 0, y ≥ 0

2. Express each mixed radical as an equivalent entire radical.

d) x 2 16 y + 3 x 4 y 7. Simplify each expression. 3

a) 4 5

a)

b) 23 13

b) 3 8 x5 y

c) 9 x 2 x , x ≥ 0

c)

3

5 − 3 625

d)

3

x3 + 4 3 x − x 3 27 − 3 64 x

d) 5 xy 7 y , x ≥ 0, y ≥ 0 3. Order each set of numbers from least to greatest. a) −2 3, 50, − 14, 3 5

56

8. What is the perimeter of the right triangle shown? State the answer as an exact value.

b) 18, 2, 6 2, 32 c) − 60, − 3

5 2

, − 16, − 5 3

d) 4 3, 12, 2 6, 20 4. Simplify each expression. a) 7 11 − 3 11 + 8 11 b) 4 3x − 4 2 + 3 x − 2 c) 9 6 + 12 − 6 + 4 d) 6 5 − 7 y + 4 5 − 3 7 y 5. Simplify each expression. a) 3 20d + 5 45d b) 10e − 90e + 4 40e c) 5 3 + 12 − 48 + 2 75 d)

63 + 75 − 2 28 − 3 27

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