Square root of 7350

The square root of 7350 is 85.732141 (rounded to 6 decimal places). In simplest radical form it is 35√6.

Square root of 7350

Pick any whole number from 1 to 10,000.

\sqrt{7350} = 35\sqrt{6} \approx 85.732141

How to work it out

1
The square root of 7350 is the number that multiplied by itself gives 7350.
2
7350 is between the perfect squares 85² = 7225 and 86² = 7396, so its square root is between 85 and 86.
3
Pull out the biggest square factor: 7350 = 1225 × 6, so
$\sqrt{7350} = \sqrt{1225 \times 6} = 35\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{7350} \approx 85.732141$

LaTeX source of the formulas on this page

\[ \sqrt{7350} = 35\sqrt{6} \approx 85.732141 \]
\[ \sqrt{7350} = \sqrt{1225 \times 6} = 35\sqrt{6} \]
\[ \sqrt{7350} \approx 85.732141 \]

What is the square root of 7350?

The square root of 7350 is 85.732141 (rounded to 6 decimal places). In simplest radical form it is 35√6.

Is 7350 a perfect square?

No. It lies between 85² = 7225 and 86² = 7396.

What is 7350 squared?

7350 × 7350 = 54022500.

What is the square root of 7350 rounded to 2 decimals?

85.73.