What is the square root of 900?


Quick Answer

The positive square root of 900 is 30. Similarly, the negative square root of 900 is -30. The positive square root, 30, is also known as the principal square root of 900.

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Full Answer

The square root of 900 is any number, which when multiplied by itself, results in 900. Because 30*30 = 900 and (-30)*(-30) = 900, both 30 and -30 are considered square roots of 900.

Note that the square root of the product of two nonnegative numbers is equivalent to the product of the square roots of each number; in other words, sqrt(x*y) = sqrt(x)*sqrt(y) where x and y are greater than or equal to zero. This property allows one to more easily calculate the square root of 900 by hand, because 900 = 9*100. In this way, sqrt(900) = sqrt(9)*sqrt(100) = 3*10 = 30.

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