Question

factorize the following

x²-2​

Answer 1

Answer:

as, [ a²–b²=(a–b)(a+b) ]

⇒(x²–2) = (x–√2)(x+√2)

Which are the correct factors of the given expression

Answer 2

Answer:

The answer x are  √2 and -√2

Step-by-step explanation:

The expression ($x^{2}$-2) is a classic example of a difference of two squares. In factoring a difference of two squares, any expression in the form of ($a^{2}$-$b^{2}$) is reduced to (a-b)(a+b)

Follow these three steps

• CALCULATING SQUARE ROOT

Calculate the square roots for 2 and $x^{2}$. The square root of 2 is √2 and the square root of $x^{2}$ is x.

• FACTORING THE POLYNOMIAL

Write the equation ($x^{2}$-2) as the difference of two squares employing the terms' square roots. The expression ($x^{2}$-2) becomes (x-√2) (x+√2).

• SOLVING THE EQUATION

Set each expression in parentheses equal to 0, then solve.

The first expression set to 0 yields (x-√2)=0, therefore x=√2,

The second expression set to 0 yields (x+√2) = 0,therefore x=-√2.

The solutions for x are √2 and -√2.