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Simplify the following expressions: (i)`(11+sqrt(11))(11-sqrt(11))` (ii) `(5+sqrt(7))(5-sqrt(7))` (iii)`(sqrt(8)-sqrt(2))(sqrt(8)+sqrt(2))` (iiii)`(sq

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Simplify the following expressions: (i)`(11+sqrt(11))(11-sqrt(11))` (ii) `(5+sqrt(7))(5-sqrt(7))` (iii)`(sqrt(8)-sqrt(2))(sqrt(8)+sqrt(2))` (iiii)`(sqrt(7)-3)(sqrt(7)+3)`
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1)`(11+sqrt11)(11-sqrt11)`
`11^2-(sqrt11)^2`
`121-11=110`
2)`(5+sqrt7)(5-sqrt7)`
`5^2-(sqrt7)^2=25-7=18`
3)`(sqrt8-sqrt2)(sqrt8+sqrt2)`
`sqrt8^2-sqrt2^2=8-2=6`
4)`(sqrt7-3)(sqrt7+3)`
`sqrt7^2-3^2=7-9=-2`.
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