Common Core HSN.RN.A.2 worksheet

Question 1

Evaluate 125^(3/3).

Answer 

Question 2

Evaluate 16^(1/2).

Answer 

Question 3

Rationalise 2/(2 + √2). The result is p − q√2. What is p?

Answer 

Question 4

Simplify √32 + √32. Write it as k√2; what is k?

Answer 

Question 5

Write ⁵√(x³) as a power of x.

• A. x^(5/3)
• B. x^(−3/5)
• C. x^(15)
• D. x^(3/5)

Question 6

Differentiate y = −1/x.

Answer 

Question 7

Evaluate 27^(2/3).

Answer 

Question 8

Simplify √18. It can be written as k√2. What is k?

Answer 

Question 9

Write x² × √x as a single power of x. Give the exponent as a fraction.

Answer (as a fraction)

Question 10

Evaluate 8^(−2/3). Give a fraction.

Answer (as a fraction)

Question 11

Which is equal to 1/√x?

• A. x^(1/2)
• B. x^(−1/2)
• C. x^(2/1)
• D. −x^(1/2)

Question 12

Differentiate y = 10√x.

Answer 

Question 13

Rationalise: 18/√6 = k√6. What is k?

Answer 

Question 14

Evaluate 4^(2/2).

Answer 

Question 15

Evaluate 16^(1/4).

Answer 

Question 16

Rationalise 11/(4 + √5). The result is p − q√5. What is p?

Answer