Lesson Example Discussion Quiz: Class Homework |
Step-2 |
Title: Dividing Radicals |
Grade: 8-b Lesson: S1-L8 |
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: \$ (7\sqrt(16) + 3\sqrt(81)) / \sqrt(25)\$. |
|
2 |
Step |
The given expression is |
\$ (7\sqrt(16) + 3\sqrt(81)) / \sqrt(25)\$ |
3 |
Step |
Simplify the square roots in the numerator: |
\$\sqrt(16) = 4\$ and \$\sqrt(81) = 9\$ |
4 |
Step |
Substitute these values back into the expression in the numerator |
\$7 times 4 + 3 times 9\$ 28 + 27 = 55 |
5 |
Step |
Simplify the square root in the denominator: |
\$\sqrt(25) = 5\$ |
6 |
Step |
Substitute this value into the expression: |
\$55 /5 \$ |
7 |
Step |
Make it simplify |
\$ \cancel(55)^11/\cancel(5)^1 \$ |
8 |
Step |
So, therefore the simplified result is 11. |
|
9 |
Choice.A |
It is wrong because the simplified expression does not equal \$\sqrt(11)\$ |
\$\sqrt(11)\$ |
10 |
Choice.B |
This option is incorrect because the expression simplifies to 11, not 55 |
55 |
11 |
Choice.C |
It is correct because the simplified expression equals 11 |
11 |
12 |
Choice.D |
This is incorrect because our final answer is 11, not \$\sqrt(55)\$ |
\$\sqrt(55)\$ |
13 |
Answer |
Option |
C |
14 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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