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Square root of 425

The square root of 425 is 20.615528 (rounded to 6 decimal places). In simplest radical form it is 5√17.

Square root of 425

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 425 is the number that multiplied by itself gives 425.

  2. 2

    425 is between the perfect squares 20² = 400 and 21² = 441, so its square root is between 20 and 21.

  3. 3

    Pull out the biggest square factor: 425 = 25 Ɨ 17, so

    425=25Ɨ17=517\sqrt{425} = \sqrt{25 \times 17} = 5\sqrt{17}
  4. 4

    A calculator, or long division of digits, gives

    425ā‰ˆ20.615528\sqrt{425} \approx 20.615528
LaTeX source of the formulas on this page
\[ \sqrt{425} = 5\sqrt{17} \approx 20.615528 \]
\[ \sqrt{425} = \sqrt{25 \times 17} = 5\sqrt{17} \]
\[ \sqrt{425} \approx 20.615528 \]

Squares around 425

NumberSquared
19361
20400
21441
22484

Questions

What is the square root of 425?

The square root of 425 is 20.615528 (rounded to 6 decimal places). In simplest radical form it is 5√17.

Is 425 a perfect square?

No. It lies between 20² = 400 and 21² = 441.

What is 425 squared?

425 Ɨ 425 = 180625.

What is the square root of 425 rounded to 2 decimals?

20.62.

Nearby numbers

More about 425

    Square root of 425: 20.615528 | WordGPT