Square root of 7484

The square root of 7484 is 86.510115 (rounded to 6 decimal places). In simplest radical form it is 2√1871.

Square root of 7484

Pick any whole number from 1 to 10,000.

\sqrt{7484} = 2\sqrt{1871} \approx 86.510115

How to work it out

1
The square root of 7484 is the number that multiplied by itself gives 7484.
2
7484 is between the perfect squares 86² = 7396 and 87² = 7569, so its square root is between 86 and 87.
3
Pull out the biggest square factor: 7484 = 4 × 1871, so
$\sqrt{7484} = \sqrt{4 \times 1871} = 2\sqrt{1871}$
4
A calculator, or long division of digits, gives
$\sqrt{7484} \approx 86.510115$

LaTeX source of the formulas on this page

\[ \sqrt{7484} = 2\sqrt{1871} \approx 86.510115 \]
\[ \sqrt{7484} = \sqrt{4 \times 1871} = 2\sqrt{1871} \]
\[ \sqrt{7484} \approx 86.510115 \]

What is the square root of 7484?

The square root of 7484 is 86.510115 (rounded to 6 decimal places). In simplest radical form it is 2√1871.

Is 7484 a perfect square?

No. It lies between 86² = 7396 and 87² = 7569.

What is 7484 squared?

7484 × 7484 = 56010256.

What is the square root of 7484 rounded to 2 decimals?

86.51.