Created by Erin Benson
10 questions
10th Grade
Math
Updated Oct 2026
This Grade 10 mathematics worksheet gives students focused practice simplifying radicals and expressing square roots of negative numbers with the imaginary unit i. Its 10 items use varied response types: one math-response item, eight multiple-choice questions, and one dropdown item. Examples include simplifying √-4 as 2i and √-23 as i√23, helping students identify when a simplified radical belongs in imaginary form. Students apply the same simplification reasoning across selected-response and written formats, then choose or enter the resulting expression. The worksheet is useful for introducing imaginary-number notation, reinforcing procedures after instruction, or checking whether students can distinguish equivalent simplified forms from distractors such as a missing i or an incorrect sign. It is a free printable worksheet for Grade 10 math and includes a complete answer key for efficient review and grading.
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WorksheetsAnswer Key
-7
i
2i√6
-7i
8i√5
-24i√7
This Grade 10 worksheet focuses on simplifying radicals, including square roots of negative numbers written with the imaginary unit i. Across 10 items—one math response, eight multiple-choice questions, and one dropdown—students simplify expressions such as √-4 and √-23 and identify the correct simplified form.
First model how a negative radicand changes a square root into an expression involving i, using the worksheet’s examples √-4 = 2i and √-23 = i√23. Then have students explain why each answer includes the correct radical value and i before completing the multiple-choice, dropdown, and written-response items independently.
Watch for students treating √-4 as a real number, choosing -2i instead of 2i, or omitting i when simplifying √-23. Students may also select a distractor that changes the radical value, so ask them to check both the coefficient and the remaining radical in each simplified expression.
The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses from the digital quiz.
Use the worksheet’s Advanced Settings to adjust font spacing or font size so the radical notation and answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the math-response, multiple-choice, and dropdown formats.
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