Grade 11 Rationalisation Worksheet
This worksheet focuses on rationalisation of surds and denominators for Grade 11 students, covering various techniques and problem types.
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Standards
Topics
Rationalisation of Surds & Denominators
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Read each question carefully and rationalize the given expressions. Show all your working steps clearly.
1. Rationalise the denominator of the following expressions:
a) 1/√3
b) 5/√10
c) 2/(3√2)
2. Rationalise the denominator of the following expressions:
a) 1/(√5 + 2)
b) 3/(√7 - √2)
c) (√6 + √3)/(√6 - √3)
3. Complete the following statements about rationalisation:
a) To rationalize a denominator of the form a/√b, we multiply both the numerator and the denominator by .
b) The conjugate of (√x - √y) is .
c) When rationalizing a binomial denominator, we use the property.
4. Which of the following is the rationalized form of 2/√8?
√2/2
√2
2√2
1/2
5. State whether the following statements are True or False:
a) The expression 1/(√2 - 1) rationalizes to √2 + 1.
True
False
6. Rationalise the denominator and simplify: 1/(√3 + √2 - 1)