Square root of 1458

The square root of 1458 is 38.183766 (rounded to 6 decimal places). In simplest radical form it is 27√2.

Square root of 1458

Pick any whole number from 1 to 10,000.

\sqrt{1458} = 27\sqrt{2} \approx 38.183766

How to work it out

1
The square root of 1458 is the number that multiplied by itself gives 1458.
2
1458 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: 1458 = 729 × 2, so
$\sqrt{1458} = \sqrt{729 \times 2} = 27\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{1458} \approx 38.183766$

LaTeX source of the formulas on this page

\[ \sqrt{1458} = 27\sqrt{2} \approx 38.183766 \]
\[ \sqrt{1458} = \sqrt{729 \times 2} = 27\sqrt{2} \]
\[ \sqrt{1458} \approx 38.183766 \]

What is the square root of 1458?

The square root of 1458 is 38.183766 (rounded to 6 decimal places). In simplest radical form it is 27√2.

Is 1458 a perfect square?

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

What is 1458 squared?

1458 × 1458 = 2125764.

What is the square root of 1458 rounded to 2 decimals?

38.18.