WordGPT

Square root of 1496

The square root of 1496 is 38.678159 (rounded to 6 decimal places). In simplest radical form it is 2√374.

Square root of 1496

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1496 is the number that multiplied by itself gives 1496.

  2. 2

    1496 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: 1496 = 4 Ɨ 374, so

    1496=4Ɨ374=2374\sqrt{1496} = \sqrt{4 \times 374} = 2\sqrt{374}
  4. 4

    A calculator, or long division of digits, gives

    1496ā‰ˆ38.678159\sqrt{1496} \approx 38.678159
LaTeX source of the formulas on this page
\[ \sqrt{1496} = 2\sqrt{374} \approx 38.678159 \]
\[ \sqrt{1496} = \sqrt{4 \times 374} = 2\sqrt{374} \]
\[ \sqrt{1496} \approx 38.678159 \]

Squares around 1496

NumberSquared
371369
381444
391521
401600

Questions

What is the square root of 1496?

The square root of 1496 is 38.678159 (rounded to 6 decimal places). In simplest radical form it is 2√374.

Is 1496 a perfect square?

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

What is 1496 squared?

1496 Ɨ 1496 = 2238016.

What is the square root of 1496 rounded to 2 decimals?

38.68.

Nearby numbers

More about 1496

    Square root of 1496: 38.678159 | WordGPT