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प्रश्न
Can you get a rational number when you compute the product of two surds Justify answer with an example
उत्तर
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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संबंधित प्रश्न
Arrange surds in descending order:
`root(3)(5), root(9)(4), root(6)(3)`
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