Question

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Which of the following best describes the solution to the equation below?

Note: Only consider the positive solution.

x2 = 2
It is an irrational number.

It is greater than zero but less than one.

It is a fraction.

It is a repeating decimal.

Answer 1

@MilkNCookies

Answer 2

@sleepyjess

Answer 3

is it \(x^2 = 2\)?

Answer 4

yes

Answer 5

@sleepyjess

Answer 6

to find x take square root. \[\sqrt{2}=irrational\]

Answer 7

because there is no fraction to represent this
1.4142135623730950488016887242097.................................................... non stop decimal

Answer 8

take square root and what?

Answer 9

do what with it

Answer 10

then you get the answer: you cannot represent sqrt2 in any fraction form with rational numenator and denominator thus it is iraational