WordGPT

Square root of 2989

The square root of 2989 is 54.671748 (rounded to 6 decimal places). In simplest radical form it is 7√61.

Square root of 2989

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 2989 is the number that multiplied by itself gives 2989.

  2. 2

    2989 is between the perfect squares 54² = 2916 and 55² = 3025, so its square root is between 54 and 55.

  3. 3

    Pull out the biggest square factor: 2989 = 49 Ɨ 61, so

    2989=49Ɨ61=761\sqrt{2989} = \sqrt{49 \times 61} = 7\sqrt{61}
  4. 4

    A calculator, or long division of digits, gives

    2989ā‰ˆ54.671748\sqrt{2989} \approx 54.671748
LaTeX source of the formulas on this page
\[ \sqrt{2989} = 7\sqrt{61} \approx 54.671748 \]
\[ \sqrt{2989} = \sqrt{49 \times 61} = 7\sqrt{61} \]
\[ \sqrt{2989} \approx 54.671748 \]

Squares around 2989

NumberSquared
532809
542916
553025
563136

Questions

What is the square root of 2989?

The square root of 2989 is 54.671748 (rounded to 6 decimal places). In simplest radical form it is 7√61.

Is 2989 a perfect square?

No. It lies between 54² = 2916 and 55² = 3025.

What is 2989 squared?

2989 Ɨ 2989 = 8934121.

What is the square root of 2989 rounded to 2 decimals?

54.67.

Nearby numbers

More about 2989

    Square root of 2989: 54.671748 | WordGPT