Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Certainly! Let's tackle this problem step-by-step.
Given the quotient to simplify:
[tex]\[ \frac{\sqrt[3]{60}}{\sqrt[3]{20}} \][/tex]
#### Step 1: Calculate the cube roots
We first need to find the cube roots of the numbers 60 and 20.
1. The cube root of 60:
[tex]\[ \sqrt[3]{60} \approx 3.9148676411688634 \][/tex]
2. The cube root of 20:
[tex]\[ \sqrt[3]{20} \approx 2.7144176165949063 \][/tex]
#### Step 2: Form the quotient
We then form the quotient by dividing the cube root of 60 by the cube root of 20:
[tex]\[ \frac{\sqrt[3]{60}}{\sqrt[3]{20}} = \frac{3.9148676411688634}{2.7144176165949063} \approx 1.4422495703074085 \][/tex]
#### Step 3: Simplify the quotient
Finally, we express the simplified quotient in a more recognizable form. This quotient can also be rewritten as:
[tex]\[ 2(\sqrt[3]{5}) = 2 \times \sqrt[3]{20} \][/tex]
where:
[tex]\[ 2 \times 2.7144176165949063 \approx 5.428835233189813 \][/tex]
Thus, the values we have are:
[tex]\[ \sqrt[3]{60} \approx 3.9148676411688634 \][/tex]
[tex]\[ \sqrt[3]{20} \approx 2.7144176165949063 \][/tex]
[tex]\[ \frac{\sqrt[3]{60}}{\sqrt[3]{20}} \approx 1.4422495703074085 \][/tex]
[tex]\[ 2 \times \sqrt[3]{20} \approx 5.428835233189813 \][/tex]
So, the given quotient
[tex]\[ \frac{\sqrt[3]{60}}{\sqrt[3]{20}} \approx 1.4422495703074085 \][/tex]
This is the simplified form of the quotient given in the problem.
Hopefully, this clarifies the solution for you! If you need further assistance, feel free to ask.
Given the quotient to simplify:
[tex]\[ \frac{\sqrt[3]{60}}{\sqrt[3]{20}} \][/tex]
#### Step 1: Calculate the cube roots
We first need to find the cube roots of the numbers 60 and 20.
1. The cube root of 60:
[tex]\[ \sqrt[3]{60} \approx 3.9148676411688634 \][/tex]
2. The cube root of 20:
[tex]\[ \sqrt[3]{20} \approx 2.7144176165949063 \][/tex]
#### Step 2: Form the quotient
We then form the quotient by dividing the cube root of 60 by the cube root of 20:
[tex]\[ \frac{\sqrt[3]{60}}{\sqrt[3]{20}} = \frac{3.9148676411688634}{2.7144176165949063} \approx 1.4422495703074085 \][/tex]
#### Step 3: Simplify the quotient
Finally, we express the simplified quotient in a more recognizable form. This quotient can also be rewritten as:
[tex]\[ 2(\sqrt[3]{5}) = 2 \times \sqrt[3]{20} \][/tex]
where:
[tex]\[ 2 \times 2.7144176165949063 \approx 5.428835233189813 \][/tex]
Thus, the values we have are:
[tex]\[ \sqrt[3]{60} \approx 3.9148676411688634 \][/tex]
[tex]\[ \sqrt[3]{20} \approx 2.7144176165949063 \][/tex]
[tex]\[ \frac{\sqrt[3]{60}}{\sqrt[3]{20}} \approx 1.4422495703074085 \][/tex]
[tex]\[ 2 \times \sqrt[3]{20} \approx 5.428835233189813 \][/tex]
So, the given quotient
[tex]\[ \frac{\sqrt[3]{60}}{\sqrt[3]{20}} \approx 1.4422495703074085 \][/tex]
This is the simplified form of the quotient given in the problem.
Hopefully, this clarifies the solution for you! If you need further assistance, feel free to ask.
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.