Square root of 288

The square root of 288 is 16.970563 (rounded to 6 decimal places). In simplest radical form it is 12√2.

Square root of 288

Pick any whole number from 1 to 10,000.

\sqrt{288} = 12\sqrt{2} \approx 16.970563

How to work it out

1
The square root of 288 is the number that multiplied by itself gives 288.
2
288 is between the perfect squares 16² = 256 and 17² = 289, so its square root is between 16 and 17.
3
Pull out the biggest square factor: 288 = 144 × 2, so
$\sqrt{288} = \sqrt{144 \times 2} = 12\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{288} \approx 16.970563$

LaTeX source of the formulas on this page

\[ \sqrt{288} = 12\sqrt{2} \approx 16.970563 \]
\[ \sqrt{288} = \sqrt{144 \times 2} = 12\sqrt{2} \]
\[ \sqrt{288} \approx 16.970563 \]

What is the square root of 288?

The square root of 288 is 16.970563 (rounded to 6 decimal places). In simplest radical form it is 12√2.

Is 288 a perfect square?

No. It lies between 16² = 256 and 17² = 289.

What is 288 squared?

288 × 288 = 82944.

What is the square root of 288 rounded to 2 decimals?

16.97.