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प्रश्न
Write the simplest rationalising factor of `sqrt(6) + sqrt(3)`.
सोपे रूप द्या
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उत्तर
When a surd is multiplied by another surd to obtain a rational number, it is called rationalisation. Each surd is called the rationalising factor of the other.
Given, `sqrt(6) + sqrt(3)`
If we multiply `sqrt(6) + sqrt(3)` with `sqrt(6) - sqrt(3)` we will get
`(sqrt(6) + sqrt(3))(sqrt(6) - sqrt(3))`
= `(sqrt(6))^2 - (sqrt(3))^2`
= 6 – 3
= 3
→ rational number
Hence, `sqrt(6) - sqrt(3)` is the rationalising factor of `sqrt(6) + sqrt(3)`.
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