`bb1.`
`a+\sqrt{a}(a>=0)`
`=\sqrt{a}.(\sqrt{a}+1)`
`bb2.`
`a-\sqrt{a}(a>=0)`
`=\sqrt{a}.(\sqrt{a}-1)`
`bb3.`
`a+2\sqrt{a}+1(a>=0)`
`=(\sqrt{a})^2+2.\sqrt{a}+1`
`=(\sqrt{a}+1)^2`
`bb4.`
`a-2\sqrt{a}+1(a>=0)`
`=(\sqrt{a})^2-2\sqrt{a}+1`
`=(\sqrt{a}-1)^2`
`bb5.`
`2a-3\sqrt{a}+1(a>=0)`
`=2a-\sqrt{a}-2\sqrt{a}+1`
`=\sqrt{a}.(2\sqrt{a}-1)-(2\sqrt{a}-1)`
`=(\sqrt{a}-1).(2\sqrt{a}-1)`
`bb6.`
`a-7\sqrt{a}+6(a>=0)`
`=a-6\sqrt{a}-\sqrt{a}+6`
`=\sqrt{a}.(\sqrt{a}-6)-(\sqrt{a}-6)`
`=(\sqrt{a}-1).(\sqrt{a}-6)`
`bb7.`
`a-6\sqrt{a}+5(a>=0)`
`=a-5\sqrt{a}-\sqrt{a}+5`
`=\sqrt{a}.(\sqrt{a}-5)-(\sqrt{a}-5)`
`=(\sqrt{a}-1).(\sqrt{a}-5)`
`bb8.`
`a\sqrt{a}-8(a>=0)`
`=(\sqrt{a})^3-2^3`
`=(\sqrt{a}-2).[(\sqrt{a})^2+2\sqrt{a}+2^2]`
`=(\sqrt{a}-2).(a+2\sqrt{a}+4)`
`bb9.`
`a\sqrt{a}+27(a>=0)`
`=(\sqrt{a})^3+3^3`
`=(\sqrt{a}+3).[(\sqrt{a})^2-3\sqrt{a}+3^2]`
`=(\sqrt{a}+3).(a-3\sqrt{a}+9)`
`bb10.`
`a-4(a>=0)`
`=(\sqrt{a})^2-2^2`
`=(\sqrt{a}-2).(\sqrt{a}+2)`
`bb11.`
`a-9(a>=0)`
`=(\sqrt{a})^2-3^2`
`=(\sqrt{a}-3).(\sqrt{a}+3)`