Rationalise denominators like a + √b

Question 1

Rationalise 1/(6 + √3). What is the denominator after rationalising?

Answer 

Question 2

Rationalise and simplify: 4/(2 + √5)

• A. 8 − 4√5
• B. −4 + 4√5
• C. −8 + 4√5
• D. 8 + 4√5

Question 3

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

Answer 

Question 4

Rationalise and simplify: 4/(1 + √5)

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

Question 5

Rationalise 1/(1 + √7). What is the denominator after rationalising?

Answer 

Question 6

Rationalise and simplify: 1/(2 − √3)

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

Question 7

Rationalise 1/(6 + √2). What is the denominator after rationalising?

Answer 

Question 8

Rationalise and simplify: 4/(2 − √2)

• A. 4 + 2√2
• B. −4 + 2√2
• C. 4 − 2√2
• D. 8 + 4√2

Question 9

Rationalise 1/(3 − √2). What is the denominator after rationalising?

Answer 

Question 10

Rationalise and simplify: 8/(3 + √5)

• A. 6 + 2√5
• B. 6 − 2√5
• C. −6 − 2√5
• D. 24 − 8√5

Question 11

Rationalise 1/(4 − √7). What is the denominator after rationalising?

Answer 

Question 12

Rationalise and simplify: 2/(2 + √2)

• A. 1 − √2
• B. 2 − √2
• C. 2 + √2
• D. 4 − 2√2

Question 13

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

Answer 

Question 14

Rationalise and simplify: 4/(1 + √3)

• A. −2 + 2√3
• B. 2 + 2√3
• C. −2 − 2√3
• D. 4 − 4√3

Question 15

Rationalise 1/(6 − √3). What is the denominator after rationalising?

Answer 

Question 16

Rationalise and simplify: 2/(2 + √2)

• A. 4 − 2√2
• B. 2 − √2
• C. −2 − √2
• D. 1 − √2