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The first people to work on squares were probably the Sumerians (ca 2500 BCE). They made multiplication tables, so they would have known squares, like 5x5=25.
The Greeks thought that any number could be expressed as a ratio of two natural numbers, as in 0.6 = 3/5. However someone realized, and then proved that the ratio of the diagonal of a square to the side can't be as a ratio - it's an irrational number, the square root of 2.
Historians don't know for sure who thought of this, but it may have been Pythagoras, or someone in his school.
What else can I help you with?
Information on mathematicians?
Aristotle was a great Greek mathematician who developed squares and square roots U will probably find more on google & on answers.com
How are square roots and perfect squares related?
The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.
What is the relationship between perfect squares and square roots?
The square roots of perfect squares are the numbers that when squared create perfect squares as for example 36 is a perfect square and its square root is 6 which when squared is 36
Are all square roots are irrational numbers?
No. The square roots of perfect squares are rational.
How are square roots and perfect squares the same?
They are not.
What has integer's as square roots?
perfect squares
What are the rules for squares and squares roots?
With square roots if you have a number times itself or squared then that that product is that numbers square root example: 9x9= 81 81 square root is 9
What are examples of perfect square roots?
Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares, namely 1² = 1, 2² = 4, 3² = 9, etc.
Numbers whose square roots are integers are called?
perfect squares
What are numbers with with square roots that are a whole number called?
perfect squares
What is a number that has large integers as its square roots?
Large perfect squares.
Why are square roots and perfect squares important?
All numbers are important.
