Rationalisation Worksheet
Grade 9 Math worksheet on rationalising denominators, including monomials and binomials.
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Rationalisation Worksheet
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Read each question carefully and rationalize the denominator where indicated. Show all your work.
1. Rationalise the denominator of the following expressions:
a) 1/√2
b) 3/√5
c) 5/(2√3)
2. The conjugate of (a + √b) is .
3. When multiplying a binomial by its conjugate, the result is always a .
4. Which of the following is the conjugate of (√7 - 2)?
√7 + 2
2 - √7
-√7 - 2
√7 - 2
5. Rationalise the denominator of the following expressions:
a) 1/(√3 + 1)
b) 5/(2 - √5)
c) (√6 + √2)/(√6 - √2)
6. Rationalising the denominator means removing any surds from the numerator.
True
False
7. The expression (3 + √2)(3 - √2) simplifies to a rational number.
True
False
8. Simplify the following expression by rationalising the denominator: (√10 - √5)/(√10 + √5)