Advertisements
Advertisements
प्रश्न
Express the following integers as a product of its prime factors:
`1/sqrt(5)`
योग
Advertisements
उत्तर
Given: `1/sqrt(5)`
Step-wise calculation:
1. Write `sqrt(5)` as a power: `sqrt(5) = 5^(1/2)`.
2. Take the reciprocal: `1/sqrt(5)`
= `1/5^(1/2)`
= `5^((-1)/2)`
3. Multiply numerator and denominator by `sqrt(5)`:
`1/sqrt(5)` = `sqrt(5)/5`
= `5^(1/2)/5`
= `5^(1/2)/5^(1)`
= `5^((-1)/2)`
As a product of prime factors in exponent form: `1/sqrt(5) = 5^((-1)/2)`.
shaalaa.com
Notes
`sqrt(5)` is irrational and 5 is a prime.
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
