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Square root of 120

The square root of 120 is 10.954451 (rounded to 6 decimal places). In simplest radical form it is 2√30.

Square root of 120

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 120 is the number that multiplied by itself gives 120.

  2. 2

    120 is between the perfect squares 10² = 100 and 11² = 121, so its square root is between 10 and 11.

  3. 3

    Pull out the biggest square factor: 120 = 4 Ɨ 30, so

    120=4Ɨ30=230\sqrt{120} = \sqrt{4 \times 30} = 2\sqrt{30}
  4. 4

    A calculator, or long division of digits, gives

    120ā‰ˆ10.954451\sqrt{120} \approx 10.954451
LaTeX source of the formulas on this page
\[ \sqrt{120} = 2\sqrt{30} \approx 10.954451 \]
\[ \sqrt{120} = \sqrt{4 \times 30} = 2\sqrt{30} \]
\[ \sqrt{120} \approx 10.954451 \]

Squares around 120

NumberSquared
981
10100
11121
12144

Questions

What is the square root of 120?

The square root of 120 is 10.954451 (rounded to 6 decimal places). In simplest radical form it is 2√30.

Is 120 a perfect square?

No. It lies between 10² = 100 and 11² = 121.

What is 120 squared?

120 Ɨ 120 = 14400.

What is the square root of 120 rounded to 2 decimals?

10.95.

Nearby numbers

More about 120

    Square root of 120: 10.954451 | WordGPT