Lesson Example Discussion Quiz: Class Homework |
Step-2 |
Title: Adding and Subtracting Radicals |
Grade: 8-b Lesson: S1-L6 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Subtract the following expression: \$\sqrt(128) - \sqrt(18) - \sqrt(32)\$. |
|
2 |
Step |
The given expression is |
\$\sqrt(128) - \sqrt(18) - \sqrt(32)\$ |
3 |
Step |
Simplify first radical separately: |
\$sqrt(128) = \sqrt(64 times 2) = 8\sqrt(2)\$ |
4 |
Step |
Simplify second radical separately: |
\$\sqrt(18) = \sqrt(9 times 2) = 3 \sqrt(2)\$ |
5 |
Step |
Simplify third radical separately: |
\$\sqrt(32) = \sqrt(16 times 2) = 4\sqrt(2)\$ |
6 |
Step |
Substitute the simplified values into the expression: |
\$8\sqrt(2) - 3\sqrt(2) - 4\sqrt(2)\$ |
7 |
Step |
Subtraction combine like terms and then simplify |
\$(8 - 3 - 4) \sqrt(2)\$ \$ 1\sqrt(2) = \sqrt(2)\$ |
8 |
Step |
Therefore, the simplified form of the expression \$\sqrt(128) - \sqrt(18) - \sqrt(32)\$ after subtraction is \$\sqrt(2)\$. |
|
9 |
Choice.A |
Option A does not align with the simplified expression derived from accurate calculations |
\$ -2\sqrt(3)\$ |
10 |
Choice.B |
Option B incorrectly suggests a negative sign before the square root symbol, resulting in \$\sqrt(2)\$ instead of \$- \sqrt(2)\$ |
\$ - \sqrt(2)\$ |
11 |
Choice.C |
It is wrong because it represents a different value that does not correspond to the simplified expression |
\$ 2\sqrt(3)\$ |
12 |
Choice.D |
After simplifying the expression step by step, we find the result as \$\sqrt(2)\$ so, it is correct |
\$ \sqrt(2)\$ |
13 |
Answer |
Option |
D |
14 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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