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What is the length of the diagonal of a square with sides that have a length of 1 unit?
Wiki User
∙ 13y ago
Using Pythagoras' theorem the answer is equal to the square root of 2.
Wiki User
∙ 13y ago
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How is radical used in real life?
In the simplest case, it is use to find the diagonal length of a unit square.
Where did square roots come from?
They came from geometry. If you have a square whose sides are 1 unit long then its diagonal is sqrt(2) units long.
Why are percent rational numbers?
They need not be. A unit circle inside a square with sides of 2 units, for example, occupies 25*pi per cent of the area. But 25*pi is not a rational number.
When were irrational numbers founded?
Probably when people tried to find the length of the diagonal of a unit square [sqrt(2)].
The area of a square is 0.5 hectare Its diagonal equals?
Its diagonal is 1 unit.
Who created square roots and cube roots?
The ancients - Egyptians or Greeks. They probably came across the square root of 2 when considering the diagonal of a square with sides of length 1. The cube root of 3 would have arisen, similarly, with the principal diagonal of a unit cube.
What is the area of a square with the diagnole length of 12 and the square root of 2?
If, by diagnole, you meant diagonal, and that its length was 12√2 units, then the area is 144 square unit.
What is the area of a square with sides of length 9?
9² = 81 square units.Area= length*length= 9*9= 81 unit square
How is radical used in real life?
In the simplest case, it is use to find the diagonal length of a unit square.
What is a square with 9 sides what is the area?
9² = 81 square units.Area= length*length= 9*9= 81 unit square
Where did square roots come from?
They came from geometry. If you have a square whose sides are 1 unit long then its diagonal is sqrt(2) units long.
Why are percent rational numbers?
They need not be. A unit circle inside a square with sides of 2 units, for example, occupies 25*pi per cent of the area. But 25*pi is not a rational number.
The square of the diagonal of a square having one unit sides?
A square having one unit side, means a side of length 1. There for Pythagorean tells us a^2+b^2=c^2; so 1^2+1^2=c^2. Therefore c=sqrt(2) but the question asks for the square of the diagonal: (sqrt(2))^2=2. Answer: 2
When were irrational numbers founded?
Probably when people tried to find the length of the diagonal of a unit square [sqrt(2)].
How do you get diagonal measurement of a 17x17 inch square?
You use the Pythagorean Theorem, which says that the square of the hypotenuse of a right triangle is the sum of the squares of the other two sides. Two adjacent sides of a square (or any rectangle) together with a diagonal form a right triangle. In the case of a square, the triangle is isosceles. Calling the length of a side of the square (17 inches) one unit, the theorem tells us that the hypotenuse is the square root of 2 units. Therefore the diagonal of the square is 17 times the square root of 2 inches, which is about 24 inches.
How do you locate the square root if two on a number line using geometry?
Draw a square which is 1 unit by 1 unit in size. By Pythagoras, the diagonal of the square will be sqrt(2) units in length.
Why the set of rationals is not complete?
Factional exponents, in general, are not rational. For example, the length of the diagonal of a unit square, which is sqrt(2).
