X-√6 is a factor of x°4-36

(x² - 6) (x² + 6)

Step-by-step explanation:

Nope, x-√6 is a factor of x^4-36. Let solve the question by factorization method.

x^4 - (√6) ^4

x^4 - (√6) ^4

(x²) ² - (√6²) ^²

(x²) ² - (√6²) ^²

(x² - 6) (x² + 6)

Hence, the required factor forms of equation is (x² - 6) (x² + 6)

Therefore, x-√6 is not a factor of x^4-36.

Formula used while solving the problem:

1. a² - b² = (a + b) (a - b)

2. a^4 - b^4 = (a² + b²) (a² - b²)