Square root of 7628

The square root of 7628 is 87.338422 (rounded to 6 decimal places). In simplest radical form it is 2√1907.

Square root of 7628

Pick any whole number from 1 to 10,000.

\sqrt{7628} = 2\sqrt{1907} \approx 87.338422

How to work it out

1
The square root of 7628 is the number that multiplied by itself gives 7628.
2
7628 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: 7628 = 4 × 1907, so
$\sqrt{7628} = \sqrt{4 \times 1907} = 2\sqrt{1907}$
4
A calculator, or long division of digits, gives
$\sqrt{7628} \approx 87.338422$

LaTeX source of the formulas on this page

\[ \sqrt{7628} = 2\sqrt{1907} \approx 87.338422 \]
\[ \sqrt{7628} = \sqrt{4 \times 1907} = 2\sqrt{1907} \]
\[ \sqrt{7628} \approx 87.338422 \]

What is the square root of 7628?

The square root of 7628 is 87.338422 (rounded to 6 decimal places). In simplest radical form it is 2√1907.

Is 7628 a perfect square?

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

What is 7628 squared?

7628 × 7628 = 58186384.

What is the square root of 7628 rounded to 2 decimals?

87.34.