Square root of 1400

The square root of 1400 is 37.416574 (rounded to 6 decimal places). In simplest radical form it is 10√14.

Square root of 1400

Pick any whole number from 1 to 10,000.

\sqrt{1400} = 10\sqrt{14} \approx 37.416574

How to work it out

1
The square root of 1400 is the number that multiplied by itself gives 1400.
2
1400 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: 1400 = 100 × 14, so
$\sqrt{1400} = \sqrt{100 \times 14} = 10\sqrt{14}$
4
A calculator, or long division of digits, gives
$\sqrt{1400} \approx 37.416574$

LaTeX source of the formulas on this page

\[ \sqrt{1400} = 10\sqrt{14} \approx 37.416574 \]
\[ \sqrt{1400} = \sqrt{100 \times 14} = 10\sqrt{14} \]
\[ \sqrt{1400} \approx 37.416574 \]

What is the square root of 1400?

The square root of 1400 is 37.416574 (rounded to 6 decimal places). In simplest radical form it is 10√14.

Is 1400 a perfect square?

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

What is 1400 squared?

1400 × 1400 = 1960000.

What is the square root of 1400 rounded to 2 decimals?

37.42.