Square root of 700

The square root of 700 is 26.457513 (rounded to 6 decimal places). In simplest radical form it is 10√7.

Square root of 700

Pick any whole number from 1 to 10,000.

\sqrt{700} = 10\sqrt{7} \approx 26.457513

How to work it out

1
The square root of 700 is the number that multiplied by itself gives 700.
2
700 is between the perfect squares 26² = 676 and 27² = 729, so its square root is between 26 and 27.
3
Pull out the biggest square factor: 700 = 100 × 7, so
$\sqrt{700} = \sqrt{100 \times 7} = 10\sqrt{7}$
4
A calculator, or long division of digits, gives
$\sqrt{700} \approx 26.457513$

LaTeX source of the formulas on this page

\[ \sqrt{700} = 10\sqrt{7} \approx 26.457513 \]
\[ \sqrt{700} = \sqrt{100 \times 7} = 10\sqrt{7} \]
\[ \sqrt{700} \approx 26.457513 \]

What is the square root of 700?

The square root of 700 is 26.457513 (rounded to 6 decimal places). In simplest radical form it is 10√7.

Is 700 a perfect square?

No. It lies between 26² = 676 and 27² = 729.

What is 700 squared?

700 × 700 = 490000.

What is the square root of 700 rounded to 2 decimals?

26.46.