answersLogoWhite

0


Best Answer

Yes.

User Avatar

Wiki User

10y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Is the square root of zero a rational number?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Is 6 square root of 26 rational number?

It is irrational. * The square root of any positive integer, except of a perfect square, is irrational. * The product of an irrational number and a rational number (except zero) is irrational.


Is the square root of an irrational number rational?

No: Let r be some irrational number; as such it cannot be represented as s/t where s and t are both non-zero integers. Assume the square root of this irrational number r was rational. Then it can be represented in the form of p/q where p and q are both non-zero integers, ie √r = p/q As p is an integer, p² = p×p is also an integer, let y = p² And as q is an integer, q² = q×q is also an integer, let x = q² The number is the square of its square root, thus: (√r)² = (p/q)² = p²/q² = y/x but (√r)² = r, thus r = y/x and is a rational number. But r was chosen to be an irrational number, which is a contradiction (r cannot be both rational and irrational at the same time, so it cannot exist). Thus the square root of an irrational number cannot be rational. However, the square root of a rational number can be irrational, eg for the rational number ½ its square root (√½) is not rational.


Is the square root of nine over zero rational or irrational?

Neither. It is not defined.


Is the square root of any real number always positive?

The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i


Is the square root of 50 irrational or a rational number?

The square root of 50 is an irrational number. Irrational numbers are real numbers that cannot be expressed as a fraction a/b where a and b are integers and b is non-zero. Rational numbers are numbers that can be expressed as a fraction a/b where a and b are integers and b is not zero. The square root of 50 is approximately 7.071067812, which cannot be expressed as a fraction of integers. For example, the square root of 50 is between 7 and 71/100, but even (707110/100000)2 is approximately 50.00045521, which is still not quite 50.


Square root of 98x- square root of -147x square root of 12x?

There is no answer to this problem unless x is 0. For the suare root of 98x to be a real number, x has to be positive or zero. For the square root of -147x to be a real number, x has to be negative or zero. Seeing has x has to fit both requirements, the problem has an answer only if x is zero.


Which choice is equivalent to the square root of zero?

The square root of zero is zero.


Is the square root of 50 a rational or irrational?

The square root of 50 is an irrational number. Irrational Numbers are real numbers that cannot be expressed as a fraction a/b where a and b are integers and b is non-zero. Rational numbers are numbers that can be expressed as a fraction a/b where a and b are integers and b is not zero. The square root of 50 is approximately 7.071067812, which cannot be expressed as a fraction of integers. For example, the square root of 50 is between 7 and 71/100, but even (707110/100000)2 is approximately 50.00045521, which is still not quite 50.


Is the square root of zero rational or irrational?

The square root of 0 = 0. Rational is defined as a value that can be expressed as a quotient of integers. For example, 0/1 = 0 and 0/2 = 0. Although 0/0 is undefined, the former examples are still true. Therefore, the square root of 0 is rational. For your knowledge, the square root of any number is rational, except for negative numbers, which are irrational. This is because two identical integers cannot be multiplied to produce a negative integer. For instance, the square root of 25 is 5 because 5x5 = 25. However, the square root of -25 has no real roots because neither -5x-5 nor 5x5 = -25.


Is 240 a perfect square?

No it is not, as the square root of 240 is not an natural number or zero.


What is the square root of zero?

"0" And if you think about it, zero times zero is still zero. Zero times anything is zero, so this doesn't have an exception when you do the reverse to find the square root.The square root of a number (n) is a number that when multiplied by itself (squared) results in the original number (n). Therefore, the square root of 0 must be 0 because 0 x 0 = 0.


Is zero a rational number but not an integer?

Zero is a rational number and an integer.