Question

Which expression is equal to 6/√5? 6√5/25 30/√5 36/√30 6√5/5

Answer 1

6√5/25 = 6√5/(√5)^4 = 6/(√5)^3 (invalid)

30/√5 = 6*(√5)^2/(√5) = 6√5 (invalid)

36/√30 = 6*(√6)^2/(√5*√6) = 6√6/√5 (invalid)

6√5/5 = 6√5/(√5)^2 = 6/√5 (valid)

Answer 2

`$(6√(5) )/(5) $`

Explanation:

Which expression is equal to
`$(6)/(√(5) ) $`?

Rationalizing denominator:

`$(6)/(√(5) )\cdot (√(5) )/(√(5) )=(6√(5) )/(5) $`