Express 405 1/3 in simplest radical form
To express 405 1/3 in simplest radical form, we first need to convert the mixed number 405 1/3 into an improper fraction.
405 1/3 = (405 * 3 + 1)/3 = 1216/3
Next, we can simplify the fraction by finding the square root of the numerator and denominator.
√(1216/3) = √1216 / √3
Now, we want to simplify the square root of 1216.
√1216 = √(16 * 76) = √16 * √76 = 4√76
Finally, we can express 405 1/3 in simplest radical form:
405 1/3 = 4√76 / √3