Square root of 7640

The square root of 7640 is 87.407094 (rounded to 6 decimal places). In simplest radical form it is 2√1910.

Square root of 7640

Pick any whole number from 1 to 10,000.

\sqrt{7640} = 2\sqrt{1910} \approx 87.407094

How to work it out

1
The square root of 7640 is the number that multiplied by itself gives 7640.
2
7640 is between the perfect squares 87² = 7569 and 88² = 7744, so its square root is between 87 and 88.
3
Pull out the biggest square factor: 7640 = 4 × 1910, so
$\sqrt{7640} = \sqrt{4 \times 1910} = 2\sqrt{1910}$
4
A calculator, or long division of digits, gives
$\sqrt{7640} \approx 87.407094$

LaTeX source of the formulas on this page

\[ \sqrt{7640} = 2\sqrt{1910} \approx 87.407094 \]
\[ \sqrt{7640} = \sqrt{4 \times 1910} = 2\sqrt{1910} \]
\[ \sqrt{7640} \approx 87.407094 \]

What is the square root of 7640?

The square root of 7640 is 87.407094 (rounded to 6 decimal places). In simplest radical form it is 2√1910.

Is 7640 a perfect square?

No. It lies between 87² = 7569 and 88² = 7744.

What is 7640 squared?

7640 × 7640 = 58369600.

What is the square root of 7640 rounded to 2 decimals?

87.41.