Square root of 4768

The square root of 4768 is 69.050706 (rounded to 6 decimal places). In simplest radical form it is 4√298.

Square root of 4768

Pick any whole number from 1 to 10,000.

\sqrt{4768} = 4\sqrt{298} \approx 69.050706

How to work it out

1
The square root of 4768 is the number that multiplied by itself gives 4768.
2
4768 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: 4768 = 16 × 298, so
$\sqrt{4768} = \sqrt{16 \times 298} = 4\sqrt{298}$
4
A calculator, or long division of digits, gives
$\sqrt{4768} \approx 69.050706$

LaTeX source of the formulas on this page

\[ \sqrt{4768} = 4\sqrt{298} \approx 69.050706 \]
\[ \sqrt{4768} = \sqrt{16 \times 298} = 4\sqrt{298} \]
\[ \sqrt{4768} \approx 69.050706 \]

What is the square root of 4768?

The square root of 4768 is 69.050706 (rounded to 6 decimal places). In simplest radical form it is 4√298.

Is 4768 a perfect square?

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

What is 4768 squared?

4768 × 4768 = 22733824.

What is the square root of 4768 rounded to 2 decimals?

69.05.