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What is the difference between square roots and real square roots?
In mathematics, there is a distinction between real numbers and imaginary numbers. There is a number known as i which means, the square root of minus one. Since any number that we know of will produce a positive result when multiplied by itself, there would seem to be no such thing as the square root of minus one, however, the concept is useful for certain purposes, nonetheless, and it is therefore known as an imaginary number. Any multiple of i is also an imaginary number (such as 67i and so forth). So, some square roots are real numbers, and some are imaginary. Both types can be called square roots.
Rational numbers who square roots are whole numbers?
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
Is square root rational or irrational?
The square roots of some numbers are rational: eg sqrt(4) = 2, sqrt(0.04) = 0.2, sqrt(400) = 20 The square roots of some numbers are irrational eg sqrt(2) = 1.414 (approx), sqrt(0.02) = 0.1414 (approx), sqrt(200) = 14.14 (approx) The square roots of negative numbers are neither rational nor irrational, but imaginary.
Why are all square roots not irrational numbers?
Because some of them are squares of rational numbers. So their square roots are the rational numbers.Thus if x is rational, then the square roots of x2, which are -x and +x are both rational.
Is the square root of any whole number an integer ar an irrational number?
Some square roots of whole numbers are integers, some of them are irrational numbers. The square root of four for instance is a rational number, 2. The square root of two however is an irrational number, approximately 1.414211356.
