Square root of 1464

The square root of 1464 is 38.262253 (rounded to 6 decimal places). In simplest radical form it is 2√366.

Square root of 1464

Pick any whole number from 1 to 10,000.

\sqrt{1464} = 2\sqrt{366} \approx 38.262253

How to work it out

1
The square root of 1464 is the number that multiplied by itself gives 1464.
2
1464 is between the perfect squares 38² = 1444 and 39² = 1521, so its square root is between 38 and 39.
3
Pull out the biggest square factor: 1464 = 4 × 366, so
$\sqrt{1464} = \sqrt{4 \times 366} = 2\sqrt{366}$
4
A calculator, or long division of digits, gives
$\sqrt{1464} \approx 38.262253$

LaTeX source of the formulas on this page

\[ \sqrt{1464} = 2\sqrt{366} \approx 38.262253 \]
\[ \sqrt{1464} = \sqrt{4 \times 366} = 2\sqrt{366} \]
\[ \sqrt{1464} \approx 38.262253 \]

What is the square root of 1464?

The square root of 1464 is 38.262253 (rounded to 6 decimal places). In simplest radical form it is 2√366.

Is 1464 a perfect square?

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

What is 1464 squared?

1464 × 1464 = 2143296.

What is the square root of 1464 rounded to 2 decimals?

38.26.