Rewriting a number using i

Rewriting a number using i

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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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