Test: Square and cube roots

Dynamic tasks on exact and approximate square and cube roots, comparison and simplification.

Question qty: 10
Duration in minutes: 15
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Sample questions

Between which two consecutive integers does √n lie?
Calculate: √a ÷ √b.
Calculate ∛n.
Compare √n and b. Choose the correct sign.
Calculate: √a · √b.
Which statement about the principal square root is correct?
Simplify by taking the greatest possible factor outside the radical: √n.
Calculate √n.

Square and cube roots

The square root √a is the non-negative number whose square equals a. A cube root ∛a may be negative because the cube of a negative number is negative. Exact values can be recognised from a table of perfect squares and cubes.

Estimating and simplifying

If a number is not a perfect square, place its root between two consecutive integers. Extract perfect-square factors, for example √(36a) = 6√a. To compare non-negative square roots, compare their radicands.

Test: Square and cube roots

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Sample questions

Square and cube roots

Estimating and simplifying

Test: Square and cube roots

Question Nr. 1 out of 10

Question Nr. 2 out of 10

Question Nr. 3 out of 10

Question Nr. 4 out of 10

Question Nr. 5 out of 10

Question Nr. 6 out of 10

Question Nr. 7 out of 10

Question Nr. 8 out of 10

Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

Square and cube roots

Estimating and simplifying

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