[tex]d) \sqrt{ (\sqrt{29}+2)( \sqrt{29}-2) } = \sqrt{29-4}= \sqrt{25}=5 \\ e) \sqrt{ (\sqrt{19}- \sqrt{3} )( \sqrt{19}+ \sqrt{3} ) }= \sqrt{19-3}= \sqrt{16}=4 \\ f) (\sqrt{(x-1- \sqrt{2} )(x-1+ \sqrt{2} }) = \sqrt{(x-1)^2-2} = \sqrt{x^2-2x+1-2}= \\ = \sqrt{x^2-2x-1} [/tex]
