Square root of 27

The square root of 27 is 5.196152 (rounded to 6 decimal places). In simplest radical form it is 3√3.

Square root of 27

Pick any whole number from 1 to 10,000.

\sqrt{27} = 3\sqrt{3} \approx 5.196152

How to work it out

1
The square root of 27 is the number that multiplied by itself gives 27.
2
27 is between the perfect squares 5² = 25 and 6² = 36, so its square root is between 5 and 6.
3
Pull out the biggest square factor: 27 = 9 × 3, so
$\sqrt{27} = \sqrt{9 \times 3} = 3\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{27} \approx 5.196152$

LaTeX source of the formulas on this page

\[ \sqrt{27} = 3\sqrt{3} \approx 5.196152 \]
\[ \sqrt{27} = \sqrt{9 \times 3} = 3\sqrt{3} \]
\[ \sqrt{27} \approx 5.196152 \]

What is the square root of 27?

The square root of 27 is 5.196152 (rounded to 6 decimal places). In simplest radical form it is 3√3.

Is 27 a perfect square?

No. It lies between 5² = 25 and 6² = 36.

What is 27 squared?

27 × 27 = 729.

What is the square root of 27 rounded to 2 decimals?

5.20.