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Not necessarily. If the sides are a multiple of sqrt(2) units, then the diagonal is rational.

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Q: Is the diagonal of a square irrational?
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Related questions

Why is the location of an irrational number an approximate location?

It is not! The square root of 2, for example, is irrational but you can always locate it exactly by using the diagonal of a unit square.


Who is the mathematician of irrational numbers?

There is no single mathematician. It has been known since ancient times that the length of the diagonal of a unit square is sqrt(2) which is irrational.


What is the perimeter of a square with diagonal 12 centimeters?

The perimeter of a square with a diagonal of 12 centimeters is: 33.9 centimeters.In future, to find out the perimeter of a square when you only know it's diagonal, use Pythagoras or times the diagonal by 2.828427125.This number is irrational, and is like a pi for the diagonals of squares.I call it Tau.It is the relationship between the diagonal of all squares and there perimeter.


What is the square root of tow?

If you mean the square root of two, then the answer is irrational. However, it is known as Pythagoras' constant. The square root of 2, in geometrical terms, is the diagonal of a square.


When were irrational numbers founded?

Probably when people tried to find the length of the diagonal of a unit square [sqrt(2)].


When were irrational numbers invented?

Irrational numbers have been known since very early times. For example, it was recognised that the length of the diagonal of a unit square was not a rational number.


When might you encounter irrational number in daily life?

Anywhere that a curve appears, including a circle. The diagonal of a square or most rectangles.


Who invented the irrational number set?

Probably the ancient Egyptians who discovered that the diagonal of a unit square was not a rational number. And then discovered other such numbers.


What is the Need of irrational numbers?

The diagonal of a unit square (1x1) is irrational; the circumference of a circle with diameter 1 is irrational. There are many situations when such measures are required. Also, there are far more irrational numbers than there are rational, so you would be restricting yourself considerably if irrationals were excluded.


When was Irrational Number discovered and what was the dete?

Irrational numbers have been known since very early times. For example, it was recognised that the length of the diagonal of a unit square was not a rational number. There is, therefore, no specific date.


What is a real world example of irrational numbers?

The length of the diagonal of any square whose sides are a whole number of units.


Is a diagonal of a square perpendicular to its side always?

The diagonal of a square is not perpendicular to its side. The diagonal of a square will separate the square into two triangles. The diagonal goes from one corner to the opposite corner. Because it is a square, the diagonal and a side of the square will always form a 45-degree angle.