From personal advice to professional guidance, IDNLearn.com has the answers you seek. Discover comprehensive answers from knowledgeable members of our community, covering a wide range of topics to meet all your informational needs.
To simplify the expression [tex]\(\sqrt[3]{6} \cdot \sqrt[3]{9}\)[/tex], follow these steps:
1. Recognize that when we multiply two cube roots, we can multiply the numbers inside the cube roots first. Specifically: [tex]\[
\sqrt[3]{6} \cdot \sqrt[3]{9} = \sqrt[3]{6 \cdot 9}
\][/tex]
2. Calculate the product of the numbers inside the cube roots: [tex]\[
6 \cdot 9 = 54
\][/tex]
3. Now we need to find the cube root of the resulting product: [tex]\[
\sqrt[3]{54}
\][/tex]
4. The simplified result for [tex]\(\sqrt[3]{54}\)[/tex] is approximately: [tex]\[
3.7797631496846193
\][/tex]
Thus, the expression [tex]\(\sqrt[3]{6} \cdot \sqrt[3]{9}\)[/tex] simplifies to [tex]\(\sqrt[3]{54}\)[/tex], which is approximately [tex]\(3.7797631496846193\)[/tex].
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.
