Tutorial - Simplifying Expressions with Complex numbers ex 6, (2 + root(-1)) + (-3 + root(-16))

Tutorial - Simplifying Expressions with Complex numbers ex 6, (2 + root(-1)) + (-3 + root(-16))

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to simplify complex numbers by combining real and imaginary terms. It introduces the concept of imaginary numbers using 'i', demonstrates how to simplify expressions involving square roots of negative numbers, and shows how to combine like terms to achieve a simplified form of complex numbers.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't sqrt(-1) and sqrt(-16) be combined directly?

They are both real numbers.

They have different coefficients.

They have different radicands.

They are both imaginary numbers.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the imaginary unit 'i' represent?

The square root of 1

The square root of -4

The square root of -1

The square root of 4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can sqrt(-4) be rewritten using 'i'?

2

i

4i

2i

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of combining 2 - 3 and i + 4i?

-1 + 5i

1 + 3i

1 + 5i

-1 + 3i

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression discussed?

-3 + 4i

-1 + 5i

2 + 3i

3 + 4i

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