Question

Express the following integers as a product of its prime factors:

`1/sqrt(5)`

Answer 1

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)`.