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Perfect squares are used in geometry to determine the area of squares and other shapes. For instance, the area of a square is calculated by squaring the length of one of its sides, which is a perfect square. Additionally, perfect squares can be useful in the Pythagorean theorem, where they represent the squares of the lengths of the sides of right triangles. This helps in various applications, including construction, design, and spatial reasoning.

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Related Questions

How are perfect squares used in algebra?

In Algebra, perfect squares are used when one wants to break down a geometrically square object into smaller squares which can be of all different sizes.


What is the term used for the set of numbers that are not perfect squares?

There is no specific name.


How is mosaic art related to geometry?

Squares.


What are the different types of squares in geometry?

rhombus


How many perfect squares are there between 20 and 150?

To find the perfect squares between 20 and 150, we need to determine the perfect squares less than 20 and the perfect squares greater than 150. The perfect squares less than 20 are 1, 4, 9, and 16. The perfect squares greater than 150 are 169 and 196. Therefore, there are 5 perfect squares between 20 and 150: 25, 36, 49, 64, and 81.


How many perfect squares are between 100000 and 1000000?

683 perfect squares.


Can perfect squares have decimals?

Perfect squares cannot have digits after the decimal point.


What two square numbers total 21?

There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.


What is the next number in the sequence 25 36 49 64?

81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.81. They are the perfect squares of numbers starting from 5.


Why is it called a perfect square and what does it have to do with exponents?

A perfect square is called so because it is the product of an integer multiplied by itself, resembling a geometric square with equal sides. In mathematical terms, a perfect square can be expressed as ( n^2 ), where ( n ) is a whole number. The exponent of 2 indicates that the base number is used twice in multiplication, highlighting its relationship to the geometry of squares. Thus, perfect squares always yield whole numbers when taking the square root, reinforcing their definition.


Is zero perfect square?

No. Convention defines perfect squares as squares of positive integers.


Are no perfect squares whole numbers?

By definition, ALL perfect squares are whole numbers!