Square root of 5948

The square root of 5948 is 77.123278 (rounded to 6 decimal places). In simplest radical form it is 2√1487.

Square root of 5948

Pick any whole number from 1 to 10,000.

\sqrt{5948} = 2\sqrt{1487} \approx 77.123278

How to work it out

1
The square root of 5948 is the number that multiplied by itself gives 5948.
2
5948 is between the perfect squares 77² = 5929 and 78² = 6084, so its square root is between 77 and 78.
3
Pull out the biggest square factor: 5948 = 4 × 1487, so
$\sqrt{5948} = \sqrt{4 \times 1487} = 2\sqrt{1487}$
4
A calculator, or long division of digits, gives
$\sqrt{5948} \approx 77.123278$

LaTeX source of the formulas on this page

\[ \sqrt{5948} = 2\sqrt{1487} \approx 77.123278 \]
\[ \sqrt{5948} = \sqrt{4 \times 1487} = 2\sqrt{1487} \]
\[ \sqrt{5948} \approx 77.123278 \]

What is the square root of 5948?

The square root of 5948 is 77.123278 (rounded to 6 decimal places). In simplest radical form it is 2√1487.

Is 5948 a perfect square?

No. It lies between 77² = 5929 and 78² = 6084.

What is 5948 squared?

5948 × 5948 = 35378704.

What is the square root of 5948 rounded to 2 decimals?

77.12.