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Simplifying Radicals and Expressions

Simplifying Radicals and Expressions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

In this video, Amal Kumar teaches how to multiply and divide radicals through two examples. The first example involves simplifying the expression 3√6 × 2√12 ÷ √27, while the second example deals with (5√6)² ÷ (3√2 × 8). The video emphasizes the importance of following the order of operations and provides alternative methods for simplification. Key concepts include multiplying coefficients and radicands separately and simplifying square roots. The video concludes with a summary of the solutions and encourages viewers to practice independently.

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic discussed in this video?

Solving quadratic equations

Adding and subtracting radicals

Multiplying and dividing radicals

Graphing linear equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, what is the initial expression to simplify?

3√6 × 2√12 + √27

3√6 ÷ 2√12 × √27

3√6 + 2√12 - √27

3√6 × 2√12 ÷ √27

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the product of 3 and 2 in the first example?

12

9

6

5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is √27 simplified in the first example?

√9 × √3

9√3

3√3

3√9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of 72 divided by 3 in the first example?

24

18

48

36

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the alternative method used for solving the first example?

Using a calculator

Breaking down the radicals into simpler forms

Using logarithms

Graphical method

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for the second example?

(5√6)² ÷ (3√2 × 8)

(5√6)² + (3√2 × 8)

(5√6)² × (3√2 ÷ 8)

(5√6)² - (3√2 × 8)

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