Q:

What is the square root of 64?

A:

Quick Answer

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
What is the square root of 64?
Credit: Marcin Wichary CC-BY 2.0

Full Answer

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.

Learn more about Exponents

Related Questions

  • Q:

    What is the square root of 252?

    A:

    The square root of 252 is equal to 15.87. Written in simplified radical form, the square root of 252 is equal to 6 times the square root of 7.

    Full Answer >
    Filed Under:
  • Q:

    What is the square root of 17?

    A:

    The square root of 17 is approximately 4.12. Since 17 is a prime number, it cannot be rewritten in simplified radical form. The square root of 17 can be found by using the radical sign function on both scientific and graphing calculators.

    Full Answer >
    Filed Under:
  • Q:

    What is the square root of 3?

    A:

    The square root of 3 is 1.7320508, or approximately 1.73. The calculation may be quickly performed by hitting the square root symbol followed by 3 on a calculator.

    Full Answer >
    Filed Under:
  • Q:

    What is the square root of 72?

    A:

    The square root of 72 is approximately 8.49 when rounded to the nearest hundredth. Since it is not a perfect square, it can most easily be solved by using a scientific calculator. If this option is unavailable, there are a few tricks you can do to arrive at a solution.

    Full Answer >
    Filed Under:

Explore