Square root of 4896

The square root of 4896 is 69.971423 (rounded to 6 decimal places). In simplest radical form it is 12√34.

Square root of 4896

Pick any whole number from 1 to 10,000.

\sqrt{4896} = 12\sqrt{34} \approx 69.971423

How to work it out

1
The square root of 4896 is the number that multiplied by itself gives 4896.
2
4896 is between the perfect squares 69² = 4761 and 70² = 4900, so its square root is between 69 and 70.
3
Pull out the biggest square factor: 4896 = 144 × 34, so
$\sqrt{4896} = \sqrt{144 \times 34} = 12\sqrt{34}$
4
A calculator, or long division of digits, gives
$\sqrt{4896} \approx 69.971423$

LaTeX source of the formulas on this page

\[ \sqrt{4896} = 12\sqrt{34} \approx 69.971423 \]
\[ \sqrt{4896} = \sqrt{144 \times 34} = 12\sqrt{34} \]
\[ \sqrt{4896} \approx 69.971423 \]

What is the square root of 4896?

The square root of 4896 is 69.971423 (rounded to 6 decimal places). In simplest radical form it is 12√34.

Is 4896 a perfect square?

No. It lies between 69² = 4761 and 70² = 4900.

What is 4896 squared?

4896 × 4896 = 23970816.

What is the square root of 4896 rounded to 2 decimals?

69.97.