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Square root of 1792

The square root of 1792 is 42.332021 (rounded to 6 decimal places). In simplest radical form it is 16√7.

Square root of 1792

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1792 is the number that multiplied by itself gives 1792.

  2. 2

    1792 is between the perfect squares 42² = 1764 and 43² = 1849, so its square root is between 42 and 43.

  3. 3

    Pull out the biggest square factor: 1792 = 256 Ɨ 7, so

    1792=256Ɨ7=167\sqrt{1792} = \sqrt{256 \times 7} = 16\sqrt{7}
  4. 4

    A calculator, or long division of digits, gives

    1792ā‰ˆ42.332021\sqrt{1792} \approx 42.332021
LaTeX source of the formulas on this page
\[ \sqrt{1792} = 16\sqrt{7} \approx 42.332021 \]
\[ \sqrt{1792} = \sqrt{256 \times 7} = 16\sqrt{7} \]
\[ \sqrt{1792} \approx 42.332021 \]

Squares around 1792

NumberSquared
411681
421764
431849
441936

Questions

What is the square root of 1792?

The square root of 1792 is 42.332021 (rounded to 6 decimal places). In simplest radical form it is 16√7.

Is 1792 a perfect square?

No. It lies between 42² = 1764 and 43² = 1849.

What is 1792 squared?

1792 Ɨ 1792 = 3211264.

What is the square root of 1792 rounded to 2 decimals?

42.33.

Nearby numbers

More about 1792

    Square root of 1792: 42.332021 | WordGPT