Square root of 1424

The square root of 1424 is 37.735925 (rounded to 6 decimal places). In simplest radical form it is 4√89.

Square root of 1424

Pick any whole number from 1 to 10,000.

\sqrt{1424} = 4\sqrt{89} \approx 37.735925

How to work it out

1
The square root of 1424 is the number that multiplied by itself gives 1424.
2
1424 is between the perfect squares 37² = 1369 and 38² = 1444, so its square root is between 37 and 38.
3
Pull out the biggest square factor: 1424 = 16 × 89, so
$\sqrt{1424} = \sqrt{16 \times 89} = 4\sqrt{89}$
4
A calculator, or long division of digits, gives
$\sqrt{1424} \approx 37.735925$

LaTeX source of the formulas on this page

\[ \sqrt{1424} = 4\sqrt{89} \approx 37.735925 \]
\[ \sqrt{1424} = \sqrt{16 \times 89} = 4\sqrt{89} \]
\[ \sqrt{1424} \approx 37.735925 \]

What is the square root of 1424?

The square root of 1424 is 37.735925 (rounded to 6 decimal places). In simplest radical form it is 4√89.

Is 1424 a perfect square?

No. It lies between 37² = 1369 and 38² = 1444.

What is 1424 squared?

1424 × 1424 = 2027776.

What is the square root of 1424 rounded to 2 decimals?

37.74.