Rationalise denominators like a + √b
10th grade (Year 11 in England) · 16 questions · Common Core: HSN.RN.B.3 · England: GCSE Higher Number
Name
Date
Score/ 16
Question 1
Rationalise and simplify: 9/(2 − √7)
- A. 6 − 3√7
- B. −6 − 3√7
- C. −3 − 3√7
- D. 18 + 9√7
Question 2
Rationalise 1/(4 − √6). What is the denominator after rationalising?
Answer
Question 3
Rationalise and simplify: 4/(2 + √5)
- A. −4 + 4√5
- B. −8 − 4√5
- C. −8 + 4√5
- D. 8 + 4√5
Question 4
Rationalise 1/(1 − √3). What is the denominator after rationalising?
Answer
Question 5
Rationalise and simplify: 4/(1 − √3)
- A. −2 + 2√3
- B. 2 − 2√3
- C. 4 + 4√3
- D. −2 − 2√3
Question 6
Rationalise 1/(3 + √11). What is the denominator after rationalising?
Answer
Question 7
Rationalise and simplify: 2/(1 − √3)
- A. 1 − √3
- B. 2 + 2√3
- C. −1 + √3
- D. −1 − √3
Question 8
Rationalise 1/(6 − √11). What is the denominator after rationalising?
Answer
Question 9
Rationalise and simplify: 1/(2 + √5)
- A. −1 + √5
- B. 2 − √5
- C. −2 + √5
- D. 2 + √5
Question 10
Rationalise 1/(3 − √6). What is the denominator after rationalising?
Answer
Question 11
Rationalise and simplify: 6/(2 + √2)
- A. 6 − 3√2
- B. 6 + 3√2
- C. 3 − 3√2
- D. 12 − 6√2
Question 12
Rationalise 1/(4 + √11). What is the denominator after rationalising?
Answer
Question 13
Rationalise and simplify: 3/(2 − √7)
- A. −2 + √7
- B. −1 − √7
- C. 6 + 3√7
- D. −2 − √7
Question 14
Rationalise 1/(3 + √2). What is the denominator after rationalising?
Answer
Question 15
Rationalise and simplify: 4/(3 − √7)
- A. 6 − 2√7
- B. 12 + 4√7
- C. −6 + 2√7
- D. 6 + 2√7
Question 16
Rationalise 1/(2 + √3). What is the denominator after rationalising?
Answer
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