36) Find the square root of the following polynomials by division method: \(37x^2 - 28x^3 + 4x^4 + 42x + 9\).

36) Find the square root of the following polynomials by division method: \(37x^2 - 28x^3 + 4x^4 + 42x + 9\).

Answer: First, arrange the polynomial in descending order of powers: \(4x^4 - 28x^3 + 37x^2 + 42x + 9\).

Using the long division method:

The square root of the polynomial is the quotient obtained from the division.

Therefore, \(\sqrt{4x^4 - 28x^3 + 37x^2 + 42x + 9} = |2x^2 - 7x - 3|\).