Question

Rationalise the denominator and simplify 10 over 3 root 5

Answer 1

`(10)/(3√(5)) = (10√(5))/(3√(5)√(5)) = (10√(5))/(3√(5 * 5)) = (10√(5))/(3√(25)) = (10√(5))/(3(5)) = (10√(5))/(15) = (2√(5))/(3)`

Answer 2

`(10)/(3 √(5) )` x
`( 3√(5) )/(3 √(5) )`
would be
`(30√(5) )/(9 √(25) )`.
Root 25 is 5, so 9*5 = 45
so the answer is
`(30√(5) )/(45 )`.