Square root of 1456

The square root of 1456 is 38.157568 (rounded to 6 decimal places). In simplest radical form it is 4√91.

Square root of 1456

Pick any whole number from 1 to 10,000.

\sqrt{1456} = 4\sqrt{91} \approx 38.157568

How to work it out

1
The square root of 1456 is the number that multiplied by itself gives 1456.
2
1456 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: 1456 = 16 × 91, so
$\sqrt{1456} = \sqrt{16 \times 91} = 4\sqrt{91}$
4
A calculator, or long division of digits, gives
$\sqrt{1456} \approx 38.157568$

LaTeX source of the formulas on this page

\[ \sqrt{1456} = 4\sqrt{91} \approx 38.157568 \]
\[ \sqrt{1456} = \sqrt{16 \times 91} = 4\sqrt{91} \]
\[ \sqrt{1456} \approx 38.157568 \]

What is the square root of 1456?

The square root of 1456 is 38.157568 (rounded to 6 decimal places). In simplest radical form it is 4√91.

Is 1456 a perfect square?

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

What is 1456 squared?

1456 × 1456 = 2119936.

What is the square root of 1456 rounded to 2 decimals?

38.16.