Rewrite rational exponent
3sqrt22
To rewrite the rational exponent 3√22, we need to first understand what it means.
The expression 3√22 is equivalent to raising 22 to the power of 1/3. This means we are finding the cube root of 22.
To evaluate this expression, you can use a scientific calculator or follow these steps:
1. Start with the number 22.
2. Take the cube root of 22. This can be done by finding a number that, when cubed, equals 22.
- One way to find an approximate cube root is by trying different values and estimating the answer. Start with a small number, like 2. If 2^3 = 8, then we know that the cube root is less than 2. If we try 3, we find that 3^3 = 27, which is greater than 22. So, the cube root of 22 is between 2 and 3.
- You can use more accurate methods, such as the Newton-Raphson method or logarithms, if you need a more precise answer.
3. The approximate value of the cube root of 22 can be written as 22^(1/3).
- Note that 22^(1/3) is not a rational number, as it cannot be written as a simple fraction. It is an irrational number.
- If you need an exact answer, you can leave it in this form. Otherwise, you can evaluate it further using a calculator or a numerical method to get an approximate decimal value.
So, the rational exponent 3√22 can be rewritten as 22^(1/3), which represents the cube root of 22.