Step-4

Title: Multiplication of surds

Grade: 9-a Lesson: S3-L5

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Simplify:
\$ (2sqrt(10))/2 × (3sqrt(20))/3 × (4sqrt(40))/4 \$

2

Hint

Do cancelation

\$ (\cancel2sqrt(10))/cancel2 × (cancel3sqrt(20))/cancel3 × (cancel4sqrt(40))/cancel4 \$

3

Step

After cancelation

\$ sqrt(10) × sqrt(20) × sqrt(40) \$

4

Step

Take multiples of 20,40

\$ sqrt(10) × sqrt(4×5) × sqrt(4×10) \$

5

Step

Take separate surds

\$ sqrt(10) × sqrt(4)×sqrt(5) × sqrt(4)×sqrt(10) \$

6

Step

After simplification

\$ 10 × 2 × sqrt(5) × 2 \$

7

Step

After Multiplication

\$ 40sqrt(5) \$

8

Answer

D


Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 15-March-2023 08:10 PM EST