Sum

Can you get a rational number when you compute the product of two surds Justify answer with an example

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#### Solution

Yes, the product of two surds will give a rational number.

**Example:**

**(a)** `sqrt(125) xx sqrt(45) = sqrt(25 xx 5) xx sqrt(9 xx 5) = 5sqrt(5) xx 3sqrt(5)` = 15 × 5 = 75

**(b)** `sqrt(150) xx sqrt(6) = sqrt(25 xx 6) xx sqrt(6) = 5sqrt(6) xx sqrt(6)` = 5 × 6 = 30

Concept: Order of a Surd

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