Square root of 5876

The square root of 5876 is 76.655072 (rounded to 6 decimal places). In simplest radical form it is 2√1469.

Square root of 5876

Pick any whole number from 1 to 10,000.

\sqrt{5876} = 2\sqrt{1469} \approx 76.655072

How to work it out

1
The square root of 5876 is the number that multiplied by itself gives 5876.
2
5876 is between the perfect squares 76² = 5776 and 77² = 5929, so its square root is between 76 and 77.
3
Pull out the biggest square factor: 5876 = 4 × 1469, so
$\sqrt{5876} = \sqrt{4 \times 1469} = 2\sqrt{1469}$
4
A calculator, or long division of digits, gives
$\sqrt{5876} \approx 76.655072$

LaTeX source of the formulas on this page

\[ \sqrt{5876} = 2\sqrt{1469} \approx 76.655072 \]
\[ \sqrt{5876} = \sqrt{4 \times 1469} = 2\sqrt{1469} \]
\[ \sqrt{5876} \approx 76.655072 \]

What is the square root of 5876?

The square root of 5876 is 76.655072 (rounded to 6 decimal places). In simplest radical form it is 2√1469.

Is 5876 a perfect square?

No. It lies between 76² = 5776 and 77² = 5929.

What is 5876 squared?

5876 × 5876 = 34527376.

What is the square root of 5876 rounded to 2 decimals?

76.66.