Square root of 3788

The square root of 3788 is 61.54673 (rounded to 6 decimal places). In simplest radical form it is 2√947.

Square root of 3788

Pick any whole number from 1 to 10,000.

\sqrt{3788} = 2\sqrt{947} \approx 61.54673

How to work it out

1
The square root of 3788 is the number that multiplied by itself gives 3788.
2
3788 is between the perfect squares 61² = 3721 and 62² = 3844, so its square root is between 61 and 62.
3
Pull out the biggest square factor: 3788 = 4 × 947, so
$\sqrt{3788} = \sqrt{4 \times 947} = 2\sqrt{947}$
4
A calculator, or long division of digits, gives
$\sqrt{3788} \approx 61.54673$

LaTeX source of the formulas on this page

\[ \sqrt{3788} = 2\sqrt{947} \approx 61.54673 \]
\[ \sqrt{3788} = \sqrt{4 \times 947} = 2\sqrt{947} \]
\[ \sqrt{3788} \approx 61.54673 \]

What is the square root of 3788?

The square root of 3788 is 61.54673 (rounded to 6 decimal places). In simplest radical form it is 2√947.

Is 3788 a perfect square?

No. It lies between 61² = 3721 and 62² = 3844.

What is 3788 squared?

3788 × 3788 = 14348944.

What is the square root of 3788 rounded to 2 decimals?

61.55.