Square root of 5984

The square root of 5984 is 77.356318 (rounded to 6 decimal places). In simplest radical form it is 4√374.

Square root of 5984

Pick any whole number from 1 to 10,000.

\sqrt{5984} = 4\sqrt{374} \approx 77.356318

How to work it out

1
The square root of 5984 is the number that multiplied by itself gives 5984.
2
5984 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: 5984 = 16 × 374, so
$\sqrt{5984} = \sqrt{16 \times 374} = 4\sqrt{374}$
4
A calculator, or long division of digits, gives
$\sqrt{5984} \approx 77.356318$

LaTeX source of the formulas on this page

\[ \sqrt{5984} = 4\sqrt{374} \approx 77.356318 \]
\[ \sqrt{5984} = \sqrt{16 \times 374} = 4\sqrt{374} \]
\[ \sqrt{5984} \approx 77.356318 \]

What is the square root of 5984?

The square root of 5984 is 77.356318 (rounded to 6 decimal places). In simplest radical form it is 4√374.

Is 5984 a perfect square?

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

What is 5984 squared?

5984 × 5984 = 35808256.

What is the square root of 5984 rounded to 2 decimals?

77.36.