1 / (3 + 2 √2) =?
1 point
( 3 - 2 √2) / 17
( 3- 2 √2)
( 3- 2 √2)/13
None of these
Answers
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Answer:
The square root of 2, or the one-half power of 2, written in mathematics as {\displaystyle {\sqrt {2}}}{\sqrt {2}} or {\displaystyle 2^{1/2}}2^{{1/2}}, is the positive algebraic number that, when multiplied by itself, equals the number 2.[1] Technically, it must be called the principal square root of 2, to distinguish it from the negative number with the same property.
Geometrically, the square root of 2 is the length of a diagonal across a square with sides of one unit of length;[2] this follows from the Pythagorean theorem. It was probably the first number known to be irrational.[3] The fraction
99
/
70
(≈ 1.4142857) is sometimes used as a good rational approximation with a reasonably small denominator.
Sequence A002193 in the On-Line Encyclopedia of Integer Sequences consists of the digits in the decimal expansion of the square root of 2, here truncated to 65 decimal places:[4]
1.41421356237309504880168872420969807856967187537694807317667973799