is negative 3 the square root of 9 9 has two square roots 3 and 3 By convention the symbol 9 always refers to the positive square root you don t get to choose If you want to talk about the negative square root you
Both 3 and 3 are square roots of 9 just like both 4 and 4 are roots of 16 The object square root of 9 shouldn t strictly be thought of as a number but rather as a set 3 3 When we want the negative square root of the number we write a negative outside of the square root symbol For example sqrt 9 3 sqrt 9 3 As we move forward in math we will often see this process condensed into
is negative 3 the square root of 9
is negative 3 the square root of 9
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Squaring a negative number multiplies it by itself meaning two minus signs that cancel e g 3 3 9 The rule is to cancel pairs of minus signs Our square root calculator estimates the square root of any positive number you want Just enter the chosen number and read the results Everything is calculated quickly and automatically
Any nonnegative real number x has a unique nonnegative square root r this is called the principal square root For example the principal square root of 9 is sqrt 9 3 while the other square root of 9 is sqrt 9 The square of a negative real is a positive Real so the square root of a complex number could never be a negative real Including complex values lets you take square roots of
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When we square a negative number we get a positive result Just the same as squaring a positive number For more detail read Squares and Square Roots in Algebra Square So 9 is a real number which is a perfect square number that has a positive root equal to 3 and the negative root is equal to 3 Since 9 is a perfect square number the square root of 9 can
3 and 3 are said to be the square roots of 9 All positive real numbers has two square roots one positive square root and one negative square root The positive square root is sometimes The square root of 9 is 3 because 3 multiplied by itself equals 9 Therefore we can write the square root of 9 as 9 3 It is important to note that there are two possible solutions for the
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is negative 3 the square root of 9 - The square root of a number y is defined to be the value x such that x 2 y However for any real number x x 2 geq 0 When we say that the square