Algebraic fractions: simplifying

Starter:

Simplify

(√2 + 3)/(2√2 + 6)

(½√3 + 1)/(⅓√3 + 23)

(√2 + 2)/(3√2 + 8)


Now simplify

(x + 3)/(2x + 6)

(½y + 1)/(⅓y + 23)

(x + 2)/(3x + 8)


Example 1 from book


Exercise 1A


Simplify

(√5√3)×(√2√5)

(ab)×(ca)

[(x+1)2]×[3⁄(x2−1)]

(ab)÷(ac)

(ab)÷(ca)

Exercise 1B