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Square root of 245

The square root of 245 is 15.652476 (rounded to 6 decimal places). In simplest radical form it is 7√5.

Square root of 245

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 245 is the number that multiplied by itself gives 245.

  2. 2

    245 is between the perfect squares 15² = 225 and 16² = 256, so its square root is between 15 and 16.

  3. 3

    Pull out the biggest square factor: 245 = 49 Ɨ 5, so

    245=49Ɨ5=75\sqrt{245} = \sqrt{49 \times 5} = 7\sqrt{5}
  4. 4

    A calculator, or long division of digits, gives

    245ā‰ˆ15.652476\sqrt{245} \approx 15.652476
LaTeX source of the formulas on this page
\[ \sqrt{245} = 7\sqrt{5} \approx 15.652476 \]
\[ \sqrt{245} = \sqrt{49 \times 5} = 7\sqrt{5} \]
\[ \sqrt{245} \approx 15.652476 \]

Squares around 245

NumberSquared
14196
15225
16256
17289

Questions

What is the square root of 245?

The square root of 245 is 15.652476 (rounded to 6 decimal places). In simplest radical form it is 7√5.

Is 245 a perfect square?

No. It lies between 15² = 225 and 16² = 256.

What is 245 squared?

245 Ɨ 245 = 60025.

What is the square root of 245 rounded to 2 decimals?

15.65.

Nearby numbers

More about 245

    Square root of 245: 15.652476 | WordGPT