To find the square root of a fraction, we can take the square root of the numerator and the square root of the denominator separately.
Given that √21 = 4.58, we can calculate the square root of 3/7 as follows:
√(3/7) = √3 / √7
Now, using the value of √21 = 4.58, we can simplify further:
√(3/7) = (√3 / √7) * (√21 / √21)
= (√(3*21)) / (√(7*21))
= √63 / √147
At this point, we can simplify the square roots if possible, but we cannot simplify the roots any further since 63 and 147 do not have perfect square factors. Therefore, the most simplified form of the square root of 3/7 is:
√(3/7) = √63 / √147