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Square root of 980

The square root of 980 is 31.304952 (rounded to 6 decimal places). In simplest radical form it is 14√5.

Square root of 980

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 980 is the number that multiplied by itself gives 980.

  2. 2

    980 is between the perfect squares 31² = 961 and 32² = 1024, so its square root is between 31 and 32.

  3. 3

    Pull out the biggest square factor: 980 = 196 Ɨ 5, so

    980=196Ɨ5=145\sqrt{980} = \sqrt{196 \times 5} = 14\sqrt{5}
  4. 4

    A calculator, or long division of digits, gives

    980ā‰ˆ31.304952\sqrt{980} \approx 31.304952
LaTeX source of the formulas on this page
\[ \sqrt{980} = 14\sqrt{5} \approx 31.304952 \]
\[ \sqrt{980} = \sqrt{196 \times 5} = 14\sqrt{5} \]
\[ \sqrt{980} \approx 31.304952 \]

Squares around 980

NumberSquared
30900
31961
321024
331089

Questions

What is the square root of 980?

The square root of 980 is 31.304952 (rounded to 6 decimal places). In simplest radical form it is 14√5.

Is 980 a perfect square?

No. It lies between 31² = 961 and 32² = 1024.

What is 980 squared?

980 Ɨ 980 = 960400.

What is the square root of 980 rounded to 2 decimals?

31.30.

Nearby numbers

More about 980

    Square root of 980: 31.304952 | WordGPT