Question
1. What is √12 simplified?(1 point)
2. what is √18 simplified?
3. what is √125 simplified?
4. what is ^3√54
5. what is ^3√-72
2. what is √18 simplified?
3. what is √125 simplified?
4. what is ^3√54
5. what is ^3√-72
Answers
Answer
how do you write the last two in words?? for example: 3 squared 3 over 4 sqrt 5
Answer
if its -2 cubed root of 9 what is up with the three invlolved? also for the first one you basically said 3sqrt2 and thats not the answer you mean ^-2sqrt39? or 3/9?? or like ^2(3)sqrt9?
Answer
can you write it seperatley?? you are confusing me like this? ^2 3 sqrt 45 <--- example
Answer
that is not correct. you want me to write for the last one -2sqrt9?? that isnt correct
Answer
are you serious.
1. 2sqrt3
2. 3sqrt2
3. 5sqrt5
4. 3^3sqrt2
5. -2^3sqrt9
1. 2sqrt3
2. 3sqrt2
3. 5sqrt5
4. 3^3sqrt2
5. -2^3sqrt9
Answered by
GPT-4o mini
Let's simplify each of the square roots and cube roots:
1. **√12 simplified:**
- √12 can be simplified as √(4 × 3) = √4 × √3 = 2√3.
2. **√18 simplified:**
- √18 can be simplified as √(9 × 2) = √9 × √2 = 3√2.
3. **√125 simplified:**
- √125 can be simplified as √(25 × 5) = √25 × √5 = 5√5.
4. **³√54 (the cube root of 54):**
- 54 can be factored as 27 × 2. Since 27 is a perfect cube (3^3), we have:
- ³√54 = ³√(27 × 2) = ³√27 × ³√2 = 3³√2.
5. **³√-72 (the cube root of -72):**
- -72 can be represented as -(72), and we can factor 72 as 8 × 9 (where 8 is a perfect cube):
- ³√-72 = ³√(-(72)) = -³√72 = -³√(8 × 9) = -³√8 × ³√9 = -2³√9.
So the simplified forms are:
1. \(2\sqrt{3}\)
2. \(3\sqrt{2}\)
3. \(5\sqrt{5}\)
4. \(3\sqrt[3]{2}\)
5. \(-2\sqrt[3]{9}\)
1. **√12 simplified:**
- √12 can be simplified as √(4 × 3) = √4 × √3 = 2√3.
2. **√18 simplified:**
- √18 can be simplified as √(9 × 2) = √9 × √2 = 3√2.
3. **√125 simplified:**
- √125 can be simplified as √(25 × 5) = √25 × √5 = 5√5.
4. **³√54 (the cube root of 54):**
- 54 can be factored as 27 × 2. Since 27 is a perfect cube (3^3), we have:
- ³√54 = ³√(27 × 2) = ³√27 × ³√2 = 3³√2.
5. **³√-72 (the cube root of -72):**
- -72 can be represented as -(72), and we can factor 72 as 8 × 9 (where 8 is a perfect cube):
- ³√-72 = ³√(-(72)) = -³√72 = -³√(8 × 9) = -³√8 × ³√9 = -2³√9.
So the simplified forms are:
1. \(2\sqrt{3}\)
2. \(3\sqrt{2}\)
3. \(5\sqrt{5}\)
4. \(3\sqrt[3]{2}\)
5. \(-2\sqrt[3]{9}\)
Answered by
GPT-4o mini
Sure! Here’s how you can express the last two answers in words:
4. \(3\sqrt[3]{2}\) can be written as **"three cubed root of two."**
5. \(-2\sqrt[3]{9}\) can be written as **"negative two cubed root of nine."**
Let me know if you need any further assistance!
4. \(3\sqrt[3]{2}\) can be written as **"three cubed root of two."**
5. \(-2\sqrt[3]{9}\) can be written as **"negative two cubed root of nine."**
Let me know if you need any further assistance!
Answered by
GPT-4o mini
I apologize for the confusion. Let me clarify the notation and provide the correct way to express the cube root in words:
1. For **³√54**:
- The simplified answer is **\(3\sqrt[3]{2}\)**.
- In words, this can be expressed as **"three cubed root of two."**
2. For **³√-72**:
- The simplified answer is **\(-2\sqrt[3]{9}\)**.
- In words, this can be expressed as **"negative two cubed root of nine."**
The notation \(\sqrt[3]{x}\) represents the cube root of \(x\). When we say "cubed root," we denote the root with the index "3" as a superscript.
Breaking it down in terms of fractions or other forms:
- **\(3\sqrt{2}\)** means "three times the square root of two" (not to be confused with any fractional notation).
- **\(-2\sqrt[3]{9}\)** is simply "negative two times the cube root of nine."
I hope this clears up any confusion! Let me know if you need further assistance.
1. For **³√54**:
- The simplified answer is **\(3\sqrt[3]{2}\)**.
- In words, this can be expressed as **"three cubed root of two."**
2. For **³√-72**:
- The simplified answer is **\(-2\sqrt[3]{9}\)**.
- In words, this can be expressed as **"negative two cubed root of nine."**
The notation \(\sqrt[3]{x}\) represents the cube root of \(x\). When we say "cubed root," we denote the root with the index "3" as a superscript.
Breaking it down in terms of fractions or other forms:
- **\(3\sqrt{2}\)** means "three times the square root of two" (not to be confused with any fractional notation).
- **\(-2\sqrt[3]{9}\)** is simply "negative two times the cube root of nine."
I hope this clears up any confusion! Let me know if you need further assistance.
Answered by
GPT-4o mini
Sure! I’ll break it down and write the answers in a similar format as your example.
Here are the answers written separately:
1. **For \(3\sqrt[3]{2}\)**:
- **3** **cubed root** **2**
2. **For \(-2\sqrt[3]{9}\)**:
- **negative 2** **cubed root** **9**
Thank you for your patience! Let me know if you need anything else.
Here are the answers written separately:
1. **For \(3\sqrt[3]{2}\)**:
- **3** **cubed root** **2**
2. **For \(-2\sqrt[3]{9}\)**:
- **negative 2** **cubed root** **9**
Thank you for your patience! Let me know if you need anything else.
Answered by
GPT-4o mini
I apologize for the misunderstanding, and I appreciate your patience. Let's clarify the simplified expressions correctly based on your requests:
Here are the correct formats:
1. **For \(3\sqrt{2}\)** (from \(\sqrt{18}\)):
- **3** **square root** **2**
2. **For \(-2\sqrt[3]{9}\)** (from \(³\sqrt{-72}\)):
- **negative 2** **cube root** **9**
4. **For \(3\sqrt[3]{2}\)** (from \(³\sqrt{54}\)):
- **3** **cube root** **2**
So to summarize clearly:
1. **3√2** = **3 square root 2**
2. **-2√9** = **negative 2 cube root 9**
3. **3√[3]2** (where the cube root notation can also appear as a smaller ‘3’ in the upper left) = **3 cube root 2**
4. **-2√[3]9** = **negative 2 cube root 9**
Thank you for your understanding! If you have any further questions or need clarification, feel free to ask.
Here are the correct formats:
1. **For \(3\sqrt{2}\)** (from \(\sqrt{18}\)):
- **3** **square root** **2**
2. **For \(-2\sqrt[3]{9}\)** (from \(³\sqrt{-72}\)):
- **negative 2** **cube root** **9**
4. **For \(3\sqrt[3]{2}\)** (from \(³\sqrt{54}\)):
- **3** **cube root** **2**
So to summarize clearly:
1. **3√2** = **3 square root 2**
2. **-2√9** = **negative 2 cube root 9**
3. **3√[3]2** (where the cube root notation can also appear as a smaller ‘3’ in the upper left) = **3 cube root 2**
4. **-2√[3]9** = **negative 2 cube root 9**
Thank you for your understanding! If you have any further questions or need clarification, feel free to ask.
Answered by
GPT-4o mini
My apologies for the confusion earlier. Thank you for your clarification!
Let's restate the simplified radical expressions based on your corrections and format them as you've indicated. Here's a proper listing:
1. For \( \sqrt{12} \) simplified:
**2√3**
2. For \( \sqrt{18} \) simplified:
**3√2**
3. For \( \sqrt{125} \) simplified:
**5√5**
4. For \( ³√54 \) simplified:
**3³√2** (where "3" is the coefficient and "³" indicates it's a cube root of 2)
5. For \( ³√-72 \) simplified:
**-2³√9** (where "-2" is the coefficient and "³" indicates it's a cube root of 9)
Thank you for your patience, and I appreciate you pointing out the corrections. Please let me know if there's anything else you'd like!
Let's restate the simplified radical expressions based on your corrections and format them as you've indicated. Here's a proper listing:
1. For \( \sqrt{12} \) simplified:
**2√3**
2. For \( \sqrt{18} \) simplified:
**3√2**
3. For \( \sqrt{125} \) simplified:
**5√5**
4. For \( ³√54 \) simplified:
**3³√2** (where "3" is the coefficient and "³" indicates it's a cube root of 2)
5. For \( ³√-72 \) simplified:
**-2³√9** (where "-2" is the coefficient and "³" indicates it's a cube root of 9)
Thank you for your patience, and I appreciate you pointing out the corrections. Please let me know if there's anything else you'd like!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.