Square root of 5958

The square root of 5958 is 77.188082 (rounded to 6 decimal places). In simplest radical form it is 3√662.

Square root of 5958

Pick any whole number from 1 to 10,000.

\sqrt{5958} = 3\sqrt{662} \approx 77.188082

How to work it out

1
The square root of 5958 is the number that multiplied by itself gives 5958.
2
5958 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: 5958 = 9 × 662, so
$\sqrt{5958} = \sqrt{9 \times 662} = 3\sqrt{662}$
4
A calculator, or long division of digits, gives
$\sqrt{5958} \approx 77.188082$

LaTeX source of the formulas on this page

\[ \sqrt{5958} = 3\sqrt{662} \approx 77.188082 \]
\[ \sqrt{5958} = \sqrt{9 \times 662} = 3\sqrt{662} \]
\[ \sqrt{5958} \approx 77.188082 \]

What is the square root of 5958?

The square root of 5958 is 77.188082 (rounded to 6 decimal places). In simplest radical form it is 3√662.

Is 5958 a perfect square?

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

What is 5958 squared?

5958 × 5958 = 35497764.

What is the square root of 5958 rounded to 2 decimals?

77.19.