Q:

What is a list of perfect square roots?

A:

A perfect square-root chart lists the integer roots of numbers that have no fractional component. Multiplying these square roots by themselves results in designated perfect squares. For example, the square root of nine is three. Nine is a perfect square and three is a perfect square root.

Keep Learning

Websites and textbooks often publish perfect square-root charts. When looking at a multiplication table, the perfect squares form a diagonal line beginning at zero. Students who are familiar with their multiplication tables have the ability to recognize the perfect squares of the integers from zero to ten and the perfect square roots of numbers zero to 100.

Perfect square roots include both positive and negative integers. Multiplying two negative numbers always produces a positive number. When the square-root symbol or radical is used, this indicates the positive square root. However, the perfect square has another set of roots that are negative.

In algebra, one method of factoring includes completing the square. In this process, mathematicians add the same number to both sides of the equation to create an algebraic perfect square on one side of the equation. Solving the problem becomes a matter of taking the square root of both sides of the equation and remembering the roots are both positive and negative.

Sources:

Related Questions

• A: A method of solving quadratic equations is to extract the roots. This means that the possible values of x are determined by finding the square root of both... Full Answer >
Filed Under:
• A: A perfect square trinomial is a polynomial with three terms that is expanded or FOILed form of a binomial squared. Taking the square root of a perfect squa... Full Answer >
Filed Under:
• A: To calculate the square root of any number, estimate by using the closest perfect square, and divide the number for which you want the square root by the r... Full Answer >
Filed Under:
• A: Euclid discovered the concept underlying the exponent, calling the area of a square a power of the length of a single side. Archimedes later generalized th... Full Answer >
Filed Under:
PEOPLE SEARCH FOR