Question

Simplify  ( √ 5 ) ( 3 √ 5 )

Answer 1

`5^(5)/(6)`

Explanation:

`√(5)` can be represented as
`5^{(1)/(2)}` and
`\sqrt[3]5}` can be represented as
`5^{(1)/(3)}`. Therefore, the expression can be rewritten as:

`5^{(1)/(2)}*5^{(1)/(3)}`

The rule for multiplying two exponents with the same base is you add the exponents. For example:
`x^m*x^k=x^(m+k)`

We can use the same property to get:

`5^{(1)/(2) +(1)/(3)}`

which is just
`5^(5)/(6)` after you add the fractions