Square root of 387

The square root of 387 is 19.672316 (rounded to 6 decimal places). In simplest radical form it is 3√43.

Square root of 387

Pick any whole number from 1 to 10,000.

\sqrt{387} = 3\sqrt{43} \approx 19.672316

How to work it out

1
The square root of 387 is the number that multiplied by itself gives 387.
2
387 is between the perfect squares 19² = 361 and 20² = 400, so its square root is between 19 and 20.
3
Pull out the biggest square factor: 387 = 9 × 43, so
$\sqrt{387} = \sqrt{9 \times 43} = 3\sqrt{43}$
4
A calculator, or long division of digits, gives
$\sqrt{387} \approx 19.672316$

LaTeX source of the formulas on this page

\[ \sqrt{387} = 3\sqrt{43} \approx 19.672316 \]
\[ \sqrt{387} = \sqrt{9 \times 43} = 3\sqrt{43} \]
\[ \sqrt{387} \approx 19.672316 \]

What is the square root of 387?

The square root of 387 is 19.672316 (rounded to 6 decimal places). In simplest radical form it is 3√43.

Is 387 a perfect square?

No. It lies between 19² = 361 and 20² = 400.

What is 387 squared?

387 × 387 = 149769.

What is the square root of 387 rounded to 2 decimals?

19.67.