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Square root of 50

The square root of 50 is 7.071068 (rounded to 6 decimal places). In simplest radical form it is 5√2.

Square root of 50

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 50 is the number that multiplied by itself gives 50.

  2. 2

    50 is between the perfect squares 7² = 49 and 8² = 64, so its square root is between 7 and 8.

  3. 3

    Pull out the biggest square factor: 50 = 25 Ɨ 2, so

    50=25Ɨ2=52\sqrt{50} = \sqrt{25 \times 2} = 5\sqrt{2}
  4. 4

    A calculator, or long division of digits, gives

    50ā‰ˆ7.071068\sqrt{50} \approx 7.071068
LaTeX source of the formulas on this page
\[ \sqrt{50} = 5\sqrt{2} \approx 7.071068 \]
\[ \sqrt{50} = \sqrt{25 \times 2} = 5\sqrt{2} \]
\[ \sqrt{50} \approx 7.071068 \]

Squares around 50

NumberSquared
636
749
864
981

Questions

What is the square root of 50?

The square root of 50 is 7.071068 (rounded to 6 decimal places). In simplest radical form it is 5√2.

Is 50 a perfect square?

No. It lies between 7² = 49 and 8² = 64.

What is 50 squared?

50 Ɨ 50 = 2500.

What is the square root of 50 rounded to 2 decimals?

7.07.

Nearby numbers

More about 50

    Square root of 50: 7.071068 | WordGPT