The square root of 4,000 is 63.24. That value can be obtained by using the radical function on either a scientific or graphing calculator. The square root of 4,000 can also be written as 20 times the square root of 10.
The simplified form of a square root can be found by factoring out the square of a whole number. For 4,000, the factorization leaves 400 and 10, simplifying the equation to the square root of 400 times the square root of 10. Since the square root of 400 is the whole number 20, the final simplified form is written as 20 x sqrt(10), since the square root of 10 cannot be simplified any further. The function sqrt represents the radical sign.