1)
`\sqrt{1,2.270}` = `\sqrt{324}`=`18`
`\sqrt{55.77.35}` = `\sqrt{148225}` = 385
2)
`(\sqrt{3}-\sqrt{2})^2` = `\sqrt{3}^2` + 2.`\sqrt{3}`.`\sqrt{2}`+`\sqrt{2}^2`=3+2`\sqrt{6}`+2
=5+2`\sqrt{6}`
(3`\sqrt{2}`-1)(3`\sqrt{2}`+1)=`[(3. \sqrt{2} )^2 -1^2]`=18-1=17
(`\sqrt{6}`+2)(`\sqrt{3}`-`\sqrt{2}`)=`\sqrt{2}`(`\sqrt{3}`+`\sqrt{2}`)(`\sqrt{3}`-`\sqrt{2}`)
=`\sqrt{2}`.`[(\sqrt{3})^2-(\sqrt{2})^2]`=`\sqrt{2}`.(3-2)=`\sqrt{2}`.1=`\sqrt{2}`
3)
(`\sqrt{8/3}`-`\sqrt{24}`+`\sqrt{50/3}`).`\sqrt{6}`=(2.`\sqrt{6}/3` - 2. `\sqrt{6}`+`5.\sqrt{6}/3`).`\sqrt{6}`
=(`2.6/3`-2.6+`5.6/3`)=(4-12+10)=2
`( \sqrt{3/2} - \sqrt{2/3} )^2`=`\sqrt{3/2}^2`-2.`\sqrt{3/2}`.`\sqrt{2/3}`+`\sqrt{2/3}^2`
=`3/2`-2+`2/3`=`1/6`
4)
`\sqrt{1/8}`.`\sqrt{2}`.`\sqrt{125}`.`\sqrt{1/5}`
= `\sqrt{1/8 .2.125. 1/5}`
=`\sqrt{1/4 .25}`
= `1/2 .5`
=`5/2`
`\sqrt{\sqrt{2}-1}`.`\sqrt{\sqrt{2}+1}`
=`\sqrt{\sqrt{2}^2-1^2}`
=`\sqrt{2-1}`=`\sqrt{1}`=1
`\sqrt{9-\sqrt{17}}`.`\sqrt{9+\sqrt{17}}`
=`\sqrt{9^2-\sqrt{17}^2}`= `\sqrt{81-17}`=`\sqrt{64}`=8
