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Square root of 1468

The square root of 1468 is 38.314488 (rounded to 6 decimal places). In simplest radical form it is 2√367.

Square root of 1468

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1468 is the number that multiplied by itself gives 1468.

  2. 2

    1468 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: 1468 = 4 Ɨ 367, so

    1468=4Ɨ367=2367\sqrt{1468} = \sqrt{4 \times 367} = 2\sqrt{367}
  4. 4

    A calculator, or long division of digits, gives

    1468ā‰ˆ38.314488\sqrt{1468} \approx 38.314488
LaTeX source of the formulas on this page
\[ \sqrt{1468} = 2\sqrt{367} \approx 38.314488 \]
\[ \sqrt{1468} = \sqrt{4 \times 367} = 2\sqrt{367} \]
\[ \sqrt{1468} \approx 38.314488 \]

Squares around 1468

NumberSquared
371369
381444
391521
401600

Questions

What is the square root of 1468?

The square root of 1468 is 38.314488 (rounded to 6 decimal places). In simplest radical form it is 2√367.

Is 1468 a perfect square?

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

What is 1468 squared?

1468 Ɨ 1468 = 2155024.

What is the square root of 1468 rounded to 2 decimals?

38.31.

Nearby numbers

More about 1468

    Square root of 1468: 38.314488 | WordGPT