Question

Factorise the equation p^2 – √3 p – 6

Answer 1

Answer:

(p-2√3)(p+√3)

Let's solve step by step:

p² - √3p - 6

• hear we have to factors of 6 such that whose difference is -√3
• 6 = 3 × 2 = 2×√3×√3
• to get -√3 with 2×√3×√3 we will do -2√3 + √3

-2√3 + √3 = -√3

= p² - 2√3p + √3p - 6

= p (p - 2√3) + √3 (p - 2√3)

= (p - 2√3)(p + √3)

cheese

:)