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What factors are multiplied to form a perfect square?

The same number is multiplied with itself to form a perfect square i.e. a perfect square has real and repeated equal numbers as factors.


What is the simplest radical form of the square root of 155?

√155 is. 155 has no factors that are perfect squares, so there's no way to simplify it.


What are the rules for factoring?

Factoring involves breaking down an expression into simpler components, known as factors, which when multiplied together yield the original expression. Key rules include identifying common factors, applying the distributive property, recognizing special patterns like the difference of squares, perfect squares, and the sum/difference of cubes. Additionally, for polynomials, one can use techniques like grouping or synthetic division. Always ensure that the factors are expressed in their simplest form.


How do you write a simplified expression in factored form?

To write a simplified expression in factored form, first identify common factors or patterns such as differences of squares, perfect squares, or the distributive property. Next, factor out the greatest common factor (GCF) if applicable. Then, look for any further factorization opportunities, such as factoring trinomials or using methods like grouping. Finally, rewrite the expression as a product of its factors, ensuring that it is in its simplest form.


When you subtract one square number form another the answer is 9?

I'm not sure exactly what your question is, but the squares of 4 and 5 do have this property (and are the only perfect squares that do).

Related Questions

What mathematical factors are multiplied to form perfect squares?

Integral square roots are multiplied by themselves.


What factors are multiplied to form a perfect square?

The same number is multiplied with itself to form a perfect square i.e. a perfect square has real and repeated equal numbers as factors.


Are square roots multiples that are multiplied to form perfect squares?

It's True, I have the same homework


What is the square root of 65 in radical form?

√65 .The factors of 65 are 13 & 5, neither of which are perfect squares.


What is the simplest radical form of the square root of 155?

√155 is. 155 has no factors that are perfect squares, so there's no way to simplify it.


How do you write a simplified expression in factored form?

To write a simplified expression in factored form, first identify common factors or patterns such as differences of squares, perfect squares, or the distributive property. Next, factor out the greatest common factor (GCF) if applicable. Then, look for any further factorization opportunities, such as factoring trinomials or using methods like grouping. Finally, rewrite the expression as a product of its factors, ensuring that it is in its simplest form.


When you subtract one square number form another the answer is 9?

I'm not sure exactly what your question is, but the squares of 4 and 5 do have this property (and are the only perfect squares that do).


Why is it called a perfect square?

A perfect square is called so because it is the product of an integer multiplied by itself, resulting in a square number. For example, (4) is a perfect square because it can be expressed as (2 \times 2). The term "square" refers to the geometric representation of the number as the area of a square with equal side lengths. Thus, perfect squares correspond to whole numbers that can form a complete square shape.


A definition of a perfect square trinomial?

A perfect square trinomial is looking for compatible factors that would fit in the last term when multiplied and in the second term if added/subtracted (considering the signs of each polynomials).* * * * *A simpler answer is: write the trinomial in the form ax2 + bx + c. Then, if b2 = 4ac, it is a perfect square.


What is the Square root of 231 in radical form?

radical 231; no perfect squares factor into this number. It cant be simplified


What values are perfect squares?

Perfect squares are values that can be expressed as the square of an integer. Examples include 0, 1, 4, 9, 16, 25, and so on, where each number is the result of squaring integers (0, 1, 2, 3, 4, 5, etc.). In general, perfect squares take the form ( n^2 ) where ( n ) is any whole number.


What is 16 over 25 in its simplest form?

It is in its simplest form, however both are perfect squares. It could be stated to be (4/5)2 for your own interest also