Square root of 1251

The square root of 1251 is 35.369478 (rounded to 6 decimal places). In simplest radical form it is 3√139.

Square root of 1251

Pick any whole number from 1 to 10,000.

\sqrt{1251} = 3\sqrt{139} \approx 35.369478

How to work it out

1
The square root of 1251 is the number that multiplied by itself gives 1251.
2
1251 is between the perfect squares 35² = 1225 and 36² = 1296, so its square root is between 35 and 36.
3
Pull out the biggest square factor: 1251 = 9 × 139, so
$\sqrt{1251} = \sqrt{9 \times 139} = 3\sqrt{139}$
4
A calculator, or long division of digits, gives
$\sqrt{1251} \approx 35.369478$

LaTeX source of the formulas on this page

\[ \sqrt{1251} = 3\sqrt{139} \approx 35.369478 \]
\[ \sqrt{1251} = \sqrt{9 \times 139} = 3\sqrt{139} \]
\[ \sqrt{1251} \approx 35.369478 \]

What is the square root of 1251?

The square root of 1251 is 35.369478 (rounded to 6 decimal places). In simplest radical form it is 3√139.

Is 1251 a perfect square?

No. It lies between 35² = 1225 and 36² = 1296.

What is 1251 squared?

1251 × 1251 = 1565001.

What is the square root of 1251 rounded to 2 decimals?

35.37.