What Is the Square Root of 6?

By Staff WriterLast Updated Mar 26, 2020 11:16:27 AM ET

The square root of 6, calculated to 11 digits to the right of the decimal point, is 2.44948974278. Because the calculation does not produce a whole number, 6 is not a perfect square. The closest perfect square is 4, which has a square root of 2.

If the calculation for the square root of 6 is extended indefinitely past the decimal point, the resulting decimal expansion will proceed past 1 million non-repeating digits. Therefore, the square root of 6 is considered an irrational number. The square roots of the perfect squares, such as 4, 9 and 16, are all rational numbers. There are 10 perfect squares between 1 and 100. The square roots of the remaining integers between 1 and 100 are all irrational numbers that can be expressed by nonrepeating decimals.