Question: Is Negative Square Root Of 16 A Rational Number?

Is the negative square root of 17 a rational number?

√(17) is irrational, because it’s not a “nice” number.

√(64) is rational, because it simplifies to 8, a “nice” number.

Math trivia: In Europe, non-nice-number square roots are called “surds”..

What type of number is -\ sqrt 16 − 16?

2 Answers. Square root of 16 is +4 or -4. Since -4 is not a natural number, the square root can be described as an integer.

What type of number is 3?

−3 is negative so it is not a natural or whole number. −3 obviously falls in this category. Rational numbers are numbers that can be expressed as a fraction or ratio of two integers.

What is the root square of 16?

For example, 4 and −4 are square roots of 16 because 42 = (−4)2 = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √x, where the symbol √ is called the radical sign or radix.

Why are x2 17 solutions irrational?

The principal square root of 17 is the positive one, which is what we mean when we write √17 . √17 is an irrational number. That is, it cannot be represented as pq for some integers p and q . As a result, its decimal expansion does not eventually terminate or recur.

Is the square root of 16 negative 4?

Expert Answers info This is because the without a sign in front signifies the principal square root which is always positive. To signify both the positive and negative square roots we use which is equal to both +4 and -4. But when you ask in words what is the square root of 16 it is 4 or -4.

Is Square Root 16 a rational number?

Answer and Explanation: The square root of 16 is a rational number. The square root of 16 is 4, an integer. This is because 16 is a perfect square.

Is the square root of a negative number rational?

No. The square root of negative one, is not a rational number. The square of any rational number is always a positive number , but the square of is , which is not positive. … It is a complex number, specifically a pure imaginary number.

Is 16 a whole number?

Whole numbers are all of the natural numbers and zero. … Examples of Real Numbers: • 0, 15, -365, 8,000,000, 5/16, 321/895, π, √2 …

Is 2/3 an irrational number?

For example 3=3/1, −17, and 2/3 are rational numbers. … Most real numbers (points on the number-line) are irrational (not rational). The rational numbers are those which have repeating decimal expansions (for example 1/11=0.09090909…, and 1=1.000000…

How do you find the square root of 16?

The root of 16 is 4 because 4 is the equal factor for 16. We call 4 the square root of 16 and we write √16 = 4. 4 is called square root because we have to square 4 or raise 4 to a power of 2 to get 16.

Is negative square root of 2 a rational number?

Because there is a contradiction, the assumption (1) that √2 is a rational number must be false. This means that √2 is not a rational number. That is, √2 is irrational.

What are the two square roots of 16?

Table of Squares and Square RootsNUMBERSQUARESQUARE ROOT162564.000172894.123183244.243193614.35996 more rows

Is 3 a real number?

The real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers. The set of real numbers is all the numbers that have a location on the number line. Integers …, −3, −2, −1, 0, 1, 2, 3, …

Is 0 a rational number?

Zero Is a Rational Number As such, if the numerator is zero (0), and the denominator is any non-zero integer, the resulting quotient is itself zero.