Square root of 7

Square root of 7

Rationality	Irrational
Representations
Decimal	2.645751311064590590...
Algebraic form	${\sqrt {7}}$
Continued fraction	[2;1,1,1,4,1,1,1,4...]

The rectangle that bounds an equilateral triangle of side 2, or a regular hexagon of side 1, has size square root of 3 by square root of 4, with a diagonal of square root of 7.

A Logarex system Darmstadt slide rule with 7 and 6 on A and B scales, and square roots of 6 and of 7 on C and D scales, which can be read as slightly less than 2.45 and somewhat more than 2.64, respectively

The square root of 7 is the positive real number that, when multiplied by itself, gives the prime number 7.

It is an irrational algebraic number. The first thirty significant digits of its decimal expansion are:

2.64575131106459059050161575364....

More than a million decimal digits of the square root of seven have been published.