Rewriting a number using i

Rewriting a number using i

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify square roots involving negative numbers by using the imaginary unit 'i'. It starts by introducing the concept of the root of a product and the imaginary unit. The tutorial then demonstrates how to rewrite and simplify the square root of a negative number, specifically sqrt(-28), by breaking it down into simpler components using factorization. The process involves recognizing that sqrt(-1) is 'i' and simplifying sqrt(28) by identifying factors that are perfect squares. The lesson concludes with a final simplification and a summary of the steps involved.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to simplify sqrt(28) using its prime factors.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final simplified form of sqrt(28) times sqrt(-1)?

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