Square root of 4901

The square root of 4901 is 70.007142 (rounded to 6 decimal places). In simplest radical form it is 13√29.

Square root of 4901

Pick any whole number from 1 to 10,000.

\sqrt{4901} = 13\sqrt{29} \approx 70.007142

How to work it out

1
The square root of 4901 is the number that multiplied by itself gives 4901.
2
4901 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: 4901 = 169 × 29, so
$\sqrt{4901} = \sqrt{169 \times 29} = 13\sqrt{29}$
4
A calculator, or long division of digits, gives
$\sqrt{4901} \approx 70.007142$

LaTeX source of the formulas on this page

\[ \sqrt{4901} = 13\sqrt{29} \approx 70.007142 \]
\[ \sqrt{4901} = \sqrt{169 \times 29} = 13\sqrt{29} \]
\[ \sqrt{4901} \approx 70.007142 \]

What is the square root of 4901?

The square root of 4901 is 70.007142 (rounded to 6 decimal places). In simplest radical form it is 13√29.

Is 4901 a perfect square?

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

What is 4901 squared?

4901 × 4901 = 24019801.

What is the square root of 4901 rounded to 2 decimals?

70.01.