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Grade 8 Square and cube roots Worksheets

Grade 8 practice: Find roots of perfect squares and perfect cubes. Choose a level below to generate a fresh set of questions.

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Understanding square and cube roots

A square root asks what number multiplied by itself gives the target, and a cube root asks what number multiplied by itself three times gives it. In Grade 8 learners find roots of perfect squares and perfect cubes, the inverse of squaring and cubing. These operations are needed for geometry, the Pythagorean theorem, and solving equations.

For example, the square root of 49 is 7 because 7 × 7 = 49, and the cube root of 27 is 3 because 3 × 3 × 3 = 27. A common mistake is to divide by 2 or 3 instead of finding the root, giving 24.5 for the square root of 49. A helpful tip is to recall the lists of perfect squares and cubes and work backward; for a square root, find the number whose product with itself matches, rather than halving the original number.

Sample square and cube roots questions

These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.

Find √49.
Find √4.
Find ∛27.
Find ∛729.

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Practice focus

Find roots of perfect squares and perfect cubes. Show each step and check the answer.

Grade 8 Square and cube roots Worksheets

Understanding square and cube roots

Sample square and cube roots questions

Practice focus

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