Question

Please could I have some help :)

Answer 1

a)
`$(√(15) )/(√(5))\cdot (√(5) )/(√(5))=(√(75) )/(5)=(5√(3))/(5)=√(3) $`

or simply

`$(√(15))/(√(5))=\sqrt{(15)/(5)}=√(3)$`

b)
`$(√(3)\:)/(√(6)) \cdot (√(6)\:)/(√(6))=(√(18) )/(6)=(3√(2) )/(6)=(√(2) )/(2) $`

or

`$(√(3))/(√(6))=\sqrt{(3)/(6)}=\sqrt{(1)/(2)}$`

`$\sqrt{(1)/(2)}=(√(2) )/(2) $`