Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Square roots and cube roots |
Grade: 8-a Lesson: S1-L5 |
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(81) + root(3)(-8)\$ |
|
2 |
Step |
Evaluate the square root of 81: |
\$\sqrt(81)\$ = 9 |
3 |
Step |
Evaluate the cube root of -8: |
\$root(3)(-8)\$ = -2 |
4 |
Step |
Substitute the values back into the expression: |
\$\sqrt(81) + root(3)(-8)\$ = 9 + (-2) |
5 |
Step |
Add the terms: |
9 + (-2) = 9 - 2 = 7 |
6 |
Step |
So, the simplified expression is 7. |
|
7 |
Choice.A |
This option suggests that the simplified expression \$\sqrt(81) + root(3)(-8)\$ equals 7. We found earlier that \$\sqrt(81) = 9\$ and \$root(3)(-8)\$ = -2, and when we add these values, we indeed get 9 - 2 = 7, which matches this option. So, option A is correct |
7 |
8 |
Choice.B |
This option doesn’t match the result we obtained. While \$\sqrt(81)\$ equals 9, the expression also includes \$root(3)(-8)\$, which equals -2. Therefore, the total sum is not 9 |
9 |
9 |
Choice.C |
This option doesn’t match the result we obtained. The expression \$\sqrt(81) + root(3)(-8)\$ doesn’t simplify to 4; we found earlier that it simplifies to 7 |
4 |
10 |
Choice.D |
This option doesn’t match the result we obtained. The expression \$\sqrt(81) + root(3)(-8)\$ doesn’t simplify to 24; we found earlier that it simplifies to 7 |
24 |
11 |
Answer |
Option |
A |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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