Advertisements
Advertisements
प्रश्न
Rationalise the denominator:
`(sqrt(7) - sqrt(6))/(sqrt(7) + sqrt(6))`
बेरीज
Advertisements
उत्तर
To rationalise the denominator `(sqrt(7) - sqrt(6))/(sqrt(7) + sqrt(6))`,
we multiply both the numerator and the denominator by the conjugate of the denominator, which is `sqrt(7) - sqrt(6)`:
`((sqrt(7) - sqrt(6))^2)/((sqrt(7) + sqrt(6))(sqrt(7) - sqrt(6))`
Step 1: Denominator
`(sqrt(7) + sqrt(6))(sqrt(7) - sqrt(6))`
= 7 – 6
= 1
Step 2: Numerator
`(sqrt(7) - sqrt(6))^2`
= `7 - 2sqrt(42) + 6`
= `13 - 2sqrt(42)`
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
