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Square root of 1988

The square root of 1988 is 44.586994 (rounded to 6 decimal places). In simplest radical form it is 2√497.

Square root of 1988

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1988 is the number that multiplied by itself gives 1988.

  2. 2

    1988 is between the perfect squares 44² = 1936 and 45² = 2025, so its square root is between 44 and 45.

  3. 3

    Pull out the biggest square factor: 1988 = 4 Ɨ 497, so

    1988=4Ɨ497=2497\sqrt{1988} = \sqrt{4 \times 497} = 2\sqrt{497}
  4. 4

    A calculator, or long division of digits, gives

    1988ā‰ˆ44.586994\sqrt{1988} \approx 44.586994
LaTeX source of the formulas on this page
\[ \sqrt{1988} = 2\sqrt{497} \approx 44.586994 \]
\[ \sqrt{1988} = \sqrt{4 \times 497} = 2\sqrt{497} \]
\[ \sqrt{1988} \approx 44.586994 \]

Squares around 1988

NumberSquared
431849
441936
452025
462116

Questions

What is the square root of 1988?

The square root of 1988 is 44.586994 (rounded to 6 decimal places). In simplest radical form it is 2√497.

Is 1988 a perfect square?

No. It lies between 44² = 1936 and 45² = 2025.

What is 1988 squared?

1988 Ɨ 1988 = 3952144.

What is the square root of 1988 rounded to 2 decimals?

44.59.

Nearby numbers

More about 1988

    Square root of 1988: 44.586994 | WordGPT