Square root of 7376

The square root of 7376 is 85.883642 (rounded to 6 decimal places). In simplest radical form it is 4√461.

Square root of 7376

Pick any whole number from 1 to 10,000.

\sqrt{7376} = 4\sqrt{461} \approx 85.883642

How to work it out

1
The square root of 7376 is the number that multiplied by itself gives 7376.
2
7376 is between the perfect squares 85² = 7225 and 86² = 7396, so its square root is between 85 and 86.
3
Pull out the biggest square factor: 7376 = 16 × 461, so
$\sqrt{7376} = \sqrt{16 \times 461} = 4\sqrt{461}$
4
A calculator, or long division of digits, gives
$\sqrt{7376} \approx 85.883642$

LaTeX source of the formulas on this page

\[ \sqrt{7376} = 4\sqrt{461} \approx 85.883642 \]
\[ \sqrt{7376} = \sqrt{16 \times 461} = 4\sqrt{461} \]
\[ \sqrt{7376} \approx 85.883642 \]

What is the square root of 7376?

The square root of 7376 is 85.883642 (rounded to 6 decimal places). In simplest radical form it is 4√461.

Is 7376 a perfect square?

No. It lies between 85² = 7225 and 86² = 7396.

What is 7376 squared?

7376 × 7376 = 54405376.

What is the square root of 7376 rounded to 2 decimals?

85.88.