is the square root of negative 25 a rational number

is the square root of negative 25 a rational number The square root of a negative number is not a real number but an imaginary number because no real number squared equals a negative number The square root of a

That is we say that the square root of 25 is 5 5 As for 5 it is the negative of the square root of 25 5 Thus the symbol refers to one non negative number Let me explain Squaring a Rational Number First let us see what happens when we square a rational number If the rational number is a b then that becomes a 2 b 2 when

is the square root of negative 25 a rational number

is the square root of negative 25 a rational number
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Find the square root or the two roots including the principal root of positive and negative real numbers Calculate the positive principal root and negative root of positive real numbers Also tells you if the Negative Numbers We can also square negative numbers Example What happens when we square 5 Answer 5 5 25 because a negative times a negative gives

A square root of a number a is any number x with x 2 a or equivalently a root of the polynomial x 2 a The fundamental theorem of algebra implies that every complex number a has a Negative numbers doesn t have real square roots since a square is either positive or 0 If the square root of an integer is another integer then the square is called a perfect

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The square root of 25 is 5 Natural numbers are positive whole numbers 1 2 3 4 5 Whole numbers are positive and negative numbers or zero that do not Square roots of perfect squares are always whole numbers so they are rational But the decimal forms of square roots of numbers that are not perfect squares

Rational numbers include perfect squares such as 4 9 16 25 36 and so on Irrational numbers include surds numbers that cannot be simplified in a manner that removes the As shown earlier a negative square root is one of two square roots of a positive number For the number 25 its negative square root is 5 because 5 2 25

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is the square root of negative 25 a rational number - Each positive real number always has two square roots the first is positive and the second is negative However for many practical purposes we usually use the positive