Q:

# What is the square root of 64?

A:

The number 64 has two square roots: -8 and 8. This is because 8 squared, or 8 times 8, is 64, and -8 squared, or -8 times -8, is also 64. Its principal square root is 8.

Know More

## Keep Learning

Credit: moodboard Cultura Getty Images

Every positive number has two square roots, one positive and one negative. However, each positive number has only one principal square root. When people use the phrase "the square root," they often mean "the principal square root." The principal square root is non-negative. Sixty-four is also a square number. This means that it is an integer that is a square of an integer, in this case, 8.

Sources:

## Related Questions

• A:

An expression or variable with negative exponents represents the reciprocal of that expression or variable with the same positive exponent. Write the expression or variable as its reciprocal with the equivalent positive exponent; in other words, write the expression as 1 divided by the expression with its equivalent positive exponent.

Filed Under:
• A:

The "Nth" term in a mathematical equation is used to represent an unknown position in a geometrical sequence. A geometric sequence follows a specific mathematical pattern to create a series of numbers. When a sequence is given and the user is asked to find the next value, this formula can be used to solve for the geometric pattern.

Filed Under:
• A:

The quotient of powers property states that when two powers with the same base are divided, the exponents are subtracted from each other. This is written out in the formula: (a^b)/(a^c)=a^b-c.