Square and cube roots
I can explain the concept of square root and cube root and calculate them.
Square and cube roots
I can explain the concept of square root and cube root and calculate them.
Lesson details
Key learning points
- The square root of any perfect square will be an integer.
- The square root of any perfect square will be an integer and can be calculated by using trial and improvement.
- The cube root of any perfect cube will be an integer.
- The cube root of any perfect cube will be an integer and can be calculated by using trial and improvement.
Common misconception
The root of an integer is half of the integer.
The square root is the inverse of a square number. A square is the product of 2 repeated integers.
Keywords
Perfect square - A perfect square is the same as a square number.
Perfect cube - A perfect cube is the same as a cube number.
Square number - A square number is the product of two repeated integers.
Cube number - A cube number is the product of three repeated integers.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
square numbers -
1, 4, 9, 16, 25, 36, ...
cube numbers -
1, 8, 27, 64, 125, 216, ...
even numbers -
2, 4, 6, 8, 10, 12, ...
odd numbers -
1, 3, 5, 7, 9, 11, ...
multiples of 3 -
3, 6, 9, 12, 15, 18, ...
multiples of 1 -
1, 2, 3, 4, 5, 6, ...
Exit quiz
6 Questions
$$\sqrt{64}$$ -
8
$$\sqrt[3]{125}$$ -
5
$$\sqrt{1}$$ -
1
$$\sqrt{49}$$ -
7
$$\sqrt{169}$$ -
13
$$\sqrt[3]{64}$$ -
4