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Mathematics for IGCSE & O level - Surds (Section 3)

1
Rationalize the denominator of √2 / (√3).
Answer
(A)
√6 / 3
2
Which calculation below will result in a rational answer?
Answer
C
D
3
Which expression simplifies to a rational number?
Answer
(C)
(2+√3) * (2-√3)
4
What is the result of simplifying (2 + √5)(2 - √5)?
Answer
(A)
-1
5
Rationalize the denominator: (√2 + 1)/ (√2 - 1).
Answer
(A)
3+2√2
6
If x = 5 + √5 and y = 5 - 2√5, what is x + y?
Answer
(C)
10
7
Simplify 5 + √5 - 2√5.
Answer
(A)
5 - √5
8
Which of the following is not a surd?
Answer
(C)
√9
9
What is the result of rationalizing the denominator of 3/√6?
Answer
(A)
√6 / 2