10th grade number sense

Question 1

Rationalise and simplify: 2/(1 + √3)

• A. −1 − √3
• B. 2 − 2√3
• C. 1 + √3
• D. −1 + √3

Question 2

Rationalise: 30/√5 = k√5. What is k?

Answer 

Question 3

Rationalise 1/(1 − √5). What is the denominator after rationalising?

Answer 

Question 4

Rationalise 36/(5 + √7). The result is p − q√7. What is p?

Answer 

Question 5

Rationalise and simplify: 3/(2 + √7)

• A. 2 + √7
• B. −1 + √7
• C. 6 − 3√7
• D. −2 + √7

Question 6

Rationalise: 6/√2 = k√2. What is k?

Answer 

Question 7

Rationalise 1/(6 + √5). What is the denominator after rationalising?

Answer 

Question 8

Rationalise 28/(4 + √2). The result is p − q√2. What is p?

Answer 

Question 9

Rationalise and simplify: 6/(3 − √7)

• A. −9 + 3√7
• B. 18 + 6√7
• C. 9 + 3√7
• D. 9 − 3√7

Question 10

Rationalise: 28/√7 = k√7. What is k?

Answer 

Question 11

Rationalise 1/(4 + √3). What is the denominator after rationalising?

Answer 

Question 12

Rationalise 27/(4 + √7). The result is p − q√7. What is p?

Answer 

Question 13

Rationalise and simplify: 4/(3 − √5)

• A. 3 − √5
• B. 3 + √5
• C. 1 + √5
• D. 12 + 4√5

Question 14

Rationalise: 36/√6 = k√6. What is k?

Answer 

Question 15

Rationalise 1/(5 − √2). What is the denominator after rationalising?

Answer 

Question 16

Rationalise 9/(4 + √7). The result is p − q√7. What is p?

Answer