Square root of 6750

The square root of 6750 is 82.158384 (rounded to 6 decimal places). In simplest radical form it is 15√30.

Square root of 6750

Pick any whole number from 1 to 10,000.

\sqrt{6750} = 15\sqrt{30} \approx 82.158384

How to work it out

1
The square root of 6750 is the number that multiplied by itself gives 6750.
2
6750 is between the perfect squares 82² = 6724 and 83² = 6889, so its square root is between 82 and 83.
3
Pull out the biggest square factor: 6750 = 225 × 30, so
$\sqrt{6750} = \sqrt{225 \times 30} = 15\sqrt{30}$
4
A calculator, or long division of digits, gives
$\sqrt{6750} \approx 82.158384$

LaTeX source of the formulas on this page

\[ \sqrt{6750} = 15\sqrt{30} \approx 82.158384 \]
\[ \sqrt{6750} = \sqrt{225 \times 30} = 15\sqrt{30} \]
\[ \sqrt{6750} \approx 82.158384 \]

What is the square root of 6750?

The square root of 6750 is 82.158384 (rounded to 6 decimal places). In simplest radical form it is 15√30.

Is 6750 a perfect square?

No. It lies between 82² = 6724 and 83² = 6889.

What is 6750 squared?

6750 × 6750 = 45562500.

What is the square root of 6750 rounded to 2 decimals?

82.16.