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These grade 8 square roots worksheets are made for Grade 8 learners, with four difficulty levels so you can match the practice to the child.

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Grade 8 Square roots Worksheets

Grade 8 practice: Evaluate the square root of a perfect square. Choose a level below to generate a fresh set of questions.

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Understanding square roots

A square root asks which number, multiplied by itself, gives the number under the root. For a perfect square, that answer is a whole number. Students evaluate square roots by recalling or searching for the whole number whose square matches. This reverses squaring and prepares learners for the Pythagorean theorem and for working with irrational numbers.

The square root of 49 is 7, because 7 × 7 = 49. The square root of 81 is 9, since 9² = 81. A common mistake is halving the number instead of finding its root, giving the square root of 49 as 24.5. Tip: ask “what number times itself gives this?” and run through the squares you know, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, until you match the number under the root.

Sample square roots questions

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

Evaluate: √49 =
Evaluate: √64 =
Evaluate: √4 =
Evaluate: √100 =

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Practice focus

Evaluate the square root of a perfect square. Show your working so each step is clear.

Grade 8 Square roots Worksheets

Understanding square roots

Sample square roots questions

Practice focus

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