Question

How would one simplify this? Please give a step by step explanation.

Answer 1

`(√(6) )/(4)`

Explanation:

`\sqrt{(3)/(8) }`

`(√(3) )/(√(8) )`

`(√(3) )/(√(2^2*2) )`

`(√(3) )/(√(2^2)*√(2) )`

`(√(3) )/(2^(2)/(2) *√(2) )`

`(√(3) )/(2*√(2) )`

`(√(3)*√(2) )/(2*√(2)*√(2) )`

`(√(3*2) )/(2*√(2*2) )`

`(√(6) )/(2*2^(2)/(2) )`

`(√(6) )/(2^2)`

=
`(√(6) )/(4)`