How Do You Manually Calculate Sixth and Eighth Roots?

Thread starter dimasalang
Start date Oct 21, 2012
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Roots

In summary, roots in mathematics are values that make a polynomial equation equal to zero and are commonly represented by the symbol "x". They can be manually solved for using methods such as the quadratic formula, factoring, or the rational root theorem. If manual methods do not work, computer programs and calculators can be used to find roots with more accuracy and efficiency. The roots of an equation can also be used to graph it and have practical applications in solving real-world problems.

Oct 21, 2012

dimasalang

i find it puzzling how to solve this,,. (2)^1/6 or (20)^1/8 without a calculator

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Oct 21, 2012

MarneMath

Education Advisor

I believe a pretty common way to do this is via http://en.wikipedia.org/wiki/Nth_root_algorithm

You can figure this out to any desired amount of accuracy.

Oct 21, 2012

dimasalang

great! thnks

1. What are roots in mathematics?

Roots in mathematics refer to the values that make a polynomial equation equal to zero. They are commonly represented by the symbol "x" and are found by solving the equation.

2. How do I manually solve for roots?

To manually solve for roots, you can use various methods such as the quadratic formula, factoring, or the rational root theorem. These methods involve manipulating the equation to isolate the variable and solve for its value.

3. What if I can't find the roots using manual methods?

If you are unable to find the roots of an equation using manual methods, there are computer programs and calculators that can help you find the roots with more accuracy and efficiency. These tools use advanced algorithms to solve equations with complex roots.

4. Can I use the roots to graph an equation?

Yes, the roots of an equation can be used to graph it. The x-intercepts of a graph represent the roots of the corresponding equation. By substituting different values for x, you can plot points and draw a graph to visualize the roots.

5. Why is it important to find the roots of an equation?

Finding the roots of an equation is essential in solving real-world problems involving relationships between variables. It allows us to find solutions, identify patterns and relationships, and make predictions based on the given data. Additionally, roots are used in various applications, such as engineering, physics, and finance.