Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Test2 |
Grade: 8-b Lesson: S1-P2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Simplify the following expression: \$\sqrt(243) - \sqrt(81) + \sqrt(144)\$. |
|
2 |
Step |
The given expression is |
\$\sqrt(243) - \sqrt(81) + \sqrt(144)\$ |
3 |
Step |
Simplify the first radical separately: |
\$\sqrt(243) = \sqrt(81 times 3) = 9\sqrt(3)\$ |
4 |
Step |
Simplify the second radical separately: |
\$\sqrt(81) = 9\$ (since \$\sqrt(81) = 9\$) |
5 |
Step |
Simplify the third radical separately: |
\$\sqrt(144) = 12\$ (since \$\sqrt(144) = 12\$) |
6 |
Step |
Substitute the simplified values into the expression and then simplify |
\$9\sqrt(3) - 9 + 12\$ \$9\sqrt(3) + 3\$ |
7 |
Step |
Therefore, the simplified form of the expression \$\sqrt(243) - \sqrt(81) + \sqrt(144)\$ is \$9\sqrt(3) +3\$. |
|
8 |
Choice.A |
The constant part of our expression simplified to + 3, not + 5 so, it is incorrect |
\$9\sqrt(5) + 5\$ |
9 |
Choice.B |
This is accurate because it corresponds with the simplified expression |
\$9\sqrt(3) + 3\$ |
10 |
Choice.C |
There is no \$\sqrt(5)\$ terms in the original expression, and the constants do not simplify to −5 so, it is wrong |
\$9\sqrt(5) - 5\$ |
11 |
Choice.D |
This is incorrect because it should have +3 instead of −3 |
\$9\sqrt(3) - 3\$ |
12 |
Answer |
Option |
B |
13 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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