Multiplication and Division of Surds

Example: Evaluate the following (a) √45 x √28    (b) √24 / √50

Solution

√45 x √28

= √ (9 x 5) x √ (4 x 7)

= 3√5 x 2√7

= 3 x 2 x √ (5 x 7)

= 6√35

(b)√24 / √50

= √ (24 / 50)

= √ (12 / 25)

= √12 / √25

= √ (4 x 3) / 5

= 2√3 / 5