Advertisements
Advertisements
प्रश्न
Write the simplest rationalising factor of `sqrt(7) - sqrt(5)`.
सरल रूप दीजिए
Advertisements
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(7) - sqrt(5)`
If we multiply `sqrt(7) - sqrt(5)` with `sqrt(7) + sqrt(5)` we will get
`(sqrt(7) - sqrt(5))(sqrt(7) + sqrt(5))`
= `(sqrt(7))^2 - (sqrt(5))^2`
= 7 – 5
= 2
→ rational number
Hence, `sqrt(7) + sqrt(5)` is the rationalising factor of `sqrt(7) - sqrt(5)`.
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
