Square root of 4904

The square root of 4904 is 70.028566 (rounded to 6 decimal places). In simplest radical form it is 2√1226.

Square root of 4904

Pick any whole number from 1 to 10,000.

\sqrt{4904} = 2\sqrt{1226} \approx 70.028566

How to work it out

1
The square root of 4904 is the number that multiplied by itself gives 4904.
2
4904 is between the perfect squares 70² = 4900 and 71² = 5041, so its square root is between 70 and 71.
3
Pull out the biggest square factor: 4904 = 4 × 1226, so
$\sqrt{4904} = \sqrt{4 \times 1226} = 2\sqrt{1226}$
4
A calculator, or long division of digits, gives
$\sqrt{4904} \approx 70.028566$

LaTeX source of the formulas on this page

\[ \sqrt{4904} = 2\sqrt{1226} \approx 70.028566 \]
\[ \sqrt{4904} = \sqrt{4 \times 1226} = 2\sqrt{1226} \]
\[ \sqrt{4904} \approx 70.028566 \]

What is the square root of 4904?

The square root of 4904 is 70.028566 (rounded to 6 decimal places). In simplest radical form it is 2√1226.

Is 4904 a perfect square?

No. It lies between 70² = 4900 and 71² = 5041.

What is 4904 squared?

4904 × 4904 = 24049216.

What is the square root of 4904 rounded to 2 decimals?

70.03.