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Square root of 845

The square root of 845 is 29.068884 (rounded to 6 decimal places). In simplest radical form it is 13√5.

Square root of 845

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 845 is the number that multiplied by itself gives 845.

  2. 2

    845 is between the perfect squares 29² = 841 and 30² = 900, so its square root is between 29 and 30.

  3. 3

    Pull out the biggest square factor: 845 = 169 Ɨ 5, so

    845=169Ɨ5=135\sqrt{845} = \sqrt{169 \times 5} = 13\sqrt{5}
  4. 4

    A calculator, or long division of digits, gives

    845ā‰ˆ29.068884\sqrt{845} \approx 29.068884
LaTeX source of the formulas on this page
\[ \sqrt{845} = 13\sqrt{5} \approx 29.068884 \]
\[ \sqrt{845} = \sqrt{169 \times 5} = 13\sqrt{5} \]
\[ \sqrt{845} \approx 29.068884 \]

Squares around 845

NumberSquared
28784
29841
30900
31961

Questions

What is the square root of 845?

The square root of 845 is 29.068884 (rounded to 6 decimal places). In simplest radical form it is 13√5.

Is 845 a perfect square?

No. It lies between 29² = 841 and 30² = 900.

What is 845 squared?

845 Ɨ 845 = 714025.

What is the square root of 845 rounded to 2 decimals?

29.07.

Nearby numbers

More about 845

    Square root of 845: 29.068884 | WordGPT