Multiply and combine like terms. Then explain what you notice about the two different results. (i) (√3+√2) (√3+√2) (ii) (√3+√2) (√3-√2)

(i) 5 + 2√6

(ii) 1 - 2√6

Step-by-step explanation:

(i) (√3+√2) (√3+√2)

⇒ √3 (√3+√2) + √2 (√3+√2)

or

⇒ (√3) ² + (√3 * √2) + (√2 * √3) + (√2 * √2)

or

⇒ 3 + √6 + √6 + 2

or

⇒ 5 + 2√6

(ii) (√3+√2) (√3-√2)

⇒ √3 (√3-√2) + √2 (√3-√2)

or

⇒ (√3 * √3) - (√3 * √2) + (√2 * √3) - (√2 * √2)

or

⇒ (3) - (√6) + (√6) - (2)

or

⇒ 1 - 2√6