Indices and Surds — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[2](a)Simplify 2⁻³, giving your answer as a fraction.

[2](b)Evaluate 8^(2/3).

Question 2

[2](a)Simplify √50, giving your answer in the form a√b where b has no square factors.

Question 3

[3](a)Simplify √12 + √27, giving your answer in the form k√3.

Question 4

[1](a)Simplify 3⁻².

Question 5

[2](a)Evaluate (1/4)^(−1/2).

Question 6

[2](a)Simplify √75, in the form a√b.

Question 7

[2](a)Simplify √8 × √2.

Question 8

[2](a)Rationalise the denominator of 1/√2.

Question 9

[2](a)Simplify (5√3)².

Question 10

[3](a)Simplify √45 − √20, giving your answer in the form k√5.

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