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Square root of 948

The square root of 948 is 30.789609 (rounded to 6 decimal places). In simplest radical form it is 2√237.

Square root of 948

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 948 is the number that multiplied by itself gives 948.

  2. 2

    948 is between the perfect squares 30² = 900 and 31² = 961, so its square root is between 30 and 31.

  3. 3

    Pull out the biggest square factor: 948 = 4 Ɨ 237, so

    948=4Ɨ237=2237\sqrt{948} = \sqrt{4 \times 237} = 2\sqrt{237}
  4. 4

    A calculator, or long division of digits, gives

    948ā‰ˆ30.789609\sqrt{948} \approx 30.789609
LaTeX source of the formulas on this page
\[ \sqrt{948} = 2\sqrt{237} \approx 30.789609 \]
\[ \sqrt{948} = \sqrt{4 \times 237} = 2\sqrt{237} \]
\[ \sqrt{948} \approx 30.789609 \]

Squares around 948

NumberSquared
29841
30900
31961
321024

Questions

What is the square root of 948?

The square root of 948 is 30.789609 (rounded to 6 decimal places). In simplest radical form it is 2√237.

Is 948 a perfect square?

No. It lies between 30² = 900 and 31² = 961.

What is 948 squared?

948 Ɨ 948 = 898704.

What is the square root of 948 rounded to 2 decimals?

30.79.

Nearby numbers

More about 948

    Square root of 948: 30.789609 | WordGPT