Which of the following are irrational
a)√16-4
b) (3-√3)(3+√3)
c)√5+3
d)-√25
Help me with an explanation
Answers
Answer:
The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1
The square root of 2, or the (1/2)th power of 2, written in mathematics as √2 or 21⁄2, is the positive algebraic number that, when multiplied by itself, equals the number 2. Technically, it is 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; this follows the Pythagorean theorem. It was probably the first number known to be irrational.[citation needed]
As a good rational approximation for the square root of two, with a reasonably small denominator, the fraction
99
/
70
(≈ 1.4142857) is sometimes used.
The sequence A002193 in the OEIS consists of the digits in the decimal expansion of the square root of 2, here truncated to 65 decimal places:
1.41421356237309504880168872420969807856967187537694807317667973799
Answer:
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Step-by-step explanation:
c) √5+3 is answer
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