Test
Square and cube roots
Dynamic tasks on exact and approximate square and cube roots, comparison and simplification.
Time left: 00:00:00
Sample questions
- Calculate √___.
- Calculate ∛___.
- Between which two consecutive integers does √___ lie?
- Simplify by taking the greatest possible factor outside the radical: √___.
- Calculate: √___ · √___.
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.
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