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Square root of 4825

The square root of 4825 is 69.46222 (rounded to 6 decimal places). In simplest radical form it is 5√193.

Square root of 4825

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 4825 is the number that multiplied by itself gives 4825.

  2. 2

    4825 is between the perfect squares 69² = 4761 and 70² = 4900, so its square root is between 69 and 70.

  3. 3

    Pull out the biggest square factor: 4825 = 25 Ɨ 193, so

    4825=25Ɨ193=5193\sqrt{4825} = \sqrt{25 \times 193} = 5\sqrt{193}
  4. 4

    A calculator, or long division of digits, gives

    4825ā‰ˆ69.46222\sqrt{4825} \approx 69.46222
LaTeX source of the formulas on this page
\[ \sqrt{4825} = 5\sqrt{193} \approx 69.46222 \]
\[ \sqrt{4825} = \sqrt{25 \times 193} = 5\sqrt{193} \]
\[ \sqrt{4825} \approx 69.46222 \]

Squares around 4825

NumberSquared
684624
694761
704900
715041

Questions

What is the square root of 4825?

The square root of 4825 is 69.46222 (rounded to 6 decimal places). In simplest radical form it is 5√193.

Is 4825 a perfect square?

No. It lies between 69² = 4761 and 70² = 4900.

What is 4825 squared?

4825 Ɨ 4825 = 23280625.

What is the square root of 4825 rounded to 2 decimals?

69.46.

Nearby numbers

More about 4825

    Square root of 4825: 69.46222 | WordGPT