Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Multiplying Radicals |
Grade: 8-b Lesson: S1-L7 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Multiply the following radical expression: \$ 3\sqrt(4x^2) times \sqrt(16x^2)\$. |
|
2 |
Step |
Given expression |
\$ 3\sqrt(4x^2) times \sqrt(16x^2)\$ |
3 |
Step |
Simplify inside the square roots: |
\$ \sqrt(4x^2) = \sqrt(4) times \sqrt(x^2)\$ = 2x \$ \sqrt(16x^2) = \sqrt(16) times \sqrt(x^2)\$ = 4x |
4 |
Step |
Substitute the simplified forms back into the expression: |
\$3 \times 2x \times 4x\$ |
5 |
Step |
Multiply the constants and the variables: |
\$3 \times 2 \times 4 \times x \times x = 24x^2\$ |
6 |
Step |
Therefore, the simplified expression is \$24x^2\$. |
|
7 |
Choice.A |
This option is incorrect, it is much lower than \$24x^2\$ |
\$2x^2\$ |
8 |
Choice.B |
This option is correct, it matches our simplified expression \$24x^2\$ |
\$24x^2\$ |
9 |
Choice.C |
This option is incorrect, this is not equal to \$24x^2\$ |
\$22x^2\$ |
10 |
Choice.D |
This option is incorrect, this option does not match our simplified expression |
\$12x^2\$ |
11 |
Answer |
Option |
B |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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