Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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Can you get a rational number when you compute the product of two surds Justify answer with an example - Mathematics

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

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APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 2 Real Numbers
Exercise 2.6 | Q 6. (iii) | Page 68
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