4√36.19
Understand the Problem
The question is asking for the fourth root of 36.19. This requires finding a number that, when raised to the power of four, equals 36.19.
Answer
The fourth root of 36.19 is approximately $2.34$.
Answer for screen readers
The fourth root of 36.19 is approximately $2.34$.
Steps to Solve
- Express the fourth root mathematically
To find the fourth root of a number, we use the exponent $\frac{1}{4}$. Thus, we can express the fourth root of 36.19 as:
$$ x = 36.19^{\frac{1}{4}} $$
- Calculate the fourth root using a calculator
Now we need to compute the value of $36.19^{\frac{1}{4}}$. You can use a scientific calculator or computational software for this step.
- Obtain the numerical result
After calculating, we find the approximate value of the fourth root of 36.19.
The fourth root of 36.19 is approximately $2.34$.
More Information
The fourth root of a number can be considered as the number that, when multiplied by itself four times, yields the original number. Finding roots of numbers is useful in various areas of mathematics, including solving polynomial equations.
Tips
- Misunderstanding what a fourth root is and mixing it up with square roots or cube roots. Remember, the fourth root requires multiplying the number by itself four times.
- Not using a calculator properly or miscalculating the exponent. Always ensure you're inputting the calculation correctly.
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