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Square root of 1467

The square root of 1467 is 38.301436 (rounded to 6 decimal places). In simplest radical form it is 3√163.

Square root of 1467

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1467 is the number that multiplied by itself gives 1467.

  2. 2

    1467 is between the perfect squares 38² = 1444 and 39² = 1521, so its square root is between 38 and 39.

  3. 3

    Pull out the biggest square factor: 1467 = 9 Ɨ 163, so

    1467=9Ɨ163=3163\sqrt{1467} = \sqrt{9 \times 163} = 3\sqrt{163}
  4. 4

    A calculator, or long division of digits, gives

    1467ā‰ˆ38.301436\sqrt{1467} \approx 38.301436
LaTeX source of the formulas on this page
\[ \sqrt{1467} = 3\sqrt{163} \approx 38.301436 \]
\[ \sqrt{1467} = \sqrt{9 \times 163} = 3\sqrt{163} \]
\[ \sqrt{1467} \approx 38.301436 \]

Squares around 1467

NumberSquared
371369
381444
391521
401600

Questions

What is the square root of 1467?

The square root of 1467 is 38.301436 (rounded to 6 decimal places). In simplest radical form it is 3√163.

Is 1467 a perfect square?

No. It lies between 38² = 1444 and 39² = 1521.

What is 1467 squared?

1467 Ɨ 1467 = 2152089.

What is the square root of 1467 rounded to 2 decimals?

38.30.

Nearby numbers

More about 1467

    Square root of 1467: 38.301436 | WordGPT