The number 64 has two square roots: -8 and 8. This is because 8 squared, or 8 times 8, is 64, and -8 squared, or -8 times -8, is also 64. Its principal square root is 8.
Know MoreEvery positive number has two square roots, one positive and one negative. However, each positive number has only one principal square root. When people use the phrase "the square root," they often mean "the principal square root." The principal square root is non-negative. Sixty-four is also a square number. This means that it is an integer that is a square of an integer, in this case, 8.
Learn more about ExponentsThe square root of 10,000 is 100. The number 10,000 is a perfect square, so it is easy to calculate the square root using the prime factorization method. This is done by listing all the factors of 10,000.
Full Answer >Rounded to two decimal places, the square root of 34 is 5.83. It is not possible to simplify the radical ?34 because the number 34 does not have any perfect square factors.
Full Answer >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.
Full Answer >The square root of 189 is equal to 3 times the square root of 21, or approximately 13.75. To simplify the square root of a number, the number must first be broken down into its factors, looking especially for perfect squares.
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