Lesson Example Discussion Quiz: Class Homework |
Step-2 |
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: |
|
2 |
Hint |
Take multiples of 8,32,128 |
\$sqrt(2)/4 × sqrt(4×2)/2 × sqrt(16×2)/4 × sqrt(2×64)/2 \$ |
3 |
Step |
Take separate surds |
\$ sqrt(2)/4 × (sqrt(4)×sqrt(2))/2 × (sqrt(16)×sqrt(2))/4 × (sqrt(64)×sqrt(2))/2 \$ |
4 |
Step |
After simplification |
\$ sqrt(2)/4 × (2sqrt(2))/2 × (4sqrt(2))/4 × (8sqrt(2))/2 \$ |
5 |
Step |
Do cancelation |
\$ sqrt(2)/4 × (\cancel2^1sqrt(2))/\cancel2^1 × (\cancel4^1sqrt(2))/\cancel4^1 × (\cancel8^4sqrt(2))/\cancel2^1 \$ |
6 |
Step |
After cancelation |
\$ sqrt(2)/4 × sqrt(2) × sqrt(2) × sqrt(2) \$ |
7 |
Step |
After Multiplication of surds |
\$ \cancel4^1/\cancel4^1 \$ |
8 |
Answer |
B |
|
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