Square root of 7152

The square root of 7152 is 84.569498 (rounded to 6 decimal places). In simplest radical form it is 4√447.

Square root of 7152

Pick any whole number from 1 to 10,000.

\sqrt{7152} = 4\sqrt{447} \approx 84.569498

How to work it out

1
The square root of 7152 is the number that multiplied by itself gives 7152.
2
7152 is between the perfect squares 84² = 7056 and 85² = 7225, so its square root is between 84 and 85.
3
Pull out the biggest square factor: 7152 = 16 × 447, so
$\sqrt{7152} = \sqrt{16 \times 447} = 4\sqrt{447}$
4
A calculator, or long division of digits, gives
$\sqrt{7152} \approx 84.569498$

LaTeX source of the formulas on this page

\[ \sqrt{7152} = 4\sqrt{447} \approx 84.569498 \]
\[ \sqrt{7152} = \sqrt{16 \times 447} = 4\sqrt{447} \]
\[ \sqrt{7152} \approx 84.569498 \]

What is the square root of 7152?

The square root of 7152 is 84.569498 (rounded to 6 decimal places). In simplest radical form it is 4√447.

Is 7152 a perfect square?

No. It lies between 84² = 7056 and 85² = 7225.

What is 7152 squared?

7152 × 7152 = 51151104.

What is the square root of 7152 rounded to 2 decimals?

84.57.