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Principal Square Root. The unique nonnegative square root of a nonnegative real number. For example, the principal square root of 9 is 3, although both and 3 are square roots of 9.
The square root of a quotient is the quotient of the square roots, that is to say: $$$\sqrt{\dfrac{x}{y}}=\dfrac{\sqrt{x}}{\sqrt{y}}$$$. $$\sqrt{\dfrac{16}{4}}=\dfrac{\sqrt{16}}{\sqrt{4}}=\dfrac{4}{2}=2$$. or also. $$\sqrt{\dfrac{49}{64}}=\dfrac{\sqrt{49}}{\sqrt{64}}=\dfrac{7}{8}$$.