Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
To simplify the expression [tex]\(\sqrt[4]{\sqrt[3]{2^2}}\)[/tex], we should work through it step-by-step, starting from the inside and working our way out. Let's break it down:
1. Evaluate the innermost expression [tex]\(2^2\)[/tex]
[tex]\[ 2^2 = 4 \][/tex]
So, the expression now becomes:
[tex]\[ \sqrt[4]{\sqrt[3]{4}} \][/tex]
2. Calculate the cube root of 4
[tex]\[ \sqrt[3]{4} \approx 1.5874010519681994 \][/tex]
Therefore, the expression now is:
[tex]\[ \sqrt[4]{1.5874010519681994} \][/tex]
3. Finally, calculate the fourth root of [tex]\(1.5874010519681994\)[/tex]
[tex]\[ \sqrt[4]{1.5874010519681994} \approx 1.122462048309373 \][/tex]
So, after simplifying the given expression [tex]\(\sqrt[4]{\sqrt[3]{2^2}}\)[/tex], the final result is approximately [tex]\(1.122462048309373\)[/tex].
1. Evaluate the innermost expression [tex]\(2^2\)[/tex]
[tex]\[ 2^2 = 4 \][/tex]
So, the expression now becomes:
[tex]\[ \sqrt[4]{\sqrt[3]{4}} \][/tex]
2. Calculate the cube root of 4
[tex]\[ \sqrt[3]{4} \approx 1.5874010519681994 \][/tex]
Therefore, the expression now is:
[tex]\[ \sqrt[4]{1.5874010519681994} \][/tex]
3. Finally, calculate the fourth root of [tex]\(1.5874010519681994\)[/tex]
[tex]\[ \sqrt[4]{1.5874010519681994} \approx 1.122462048309373 \][/tex]
So, after simplifying the given expression [tex]\(\sqrt[4]{\sqrt[3]{2^2}}\)[/tex], the final result is approximately [tex]\(1.122462048309373\)[/tex].
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.