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Question
Simplify the following expressions:
`(11 + sqrt11)(11 - sqrt11)`
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Solution
We know that `(a + b)(a - b) = a^2 - b^2` We will use this property to simplify the expression
`(11 + sqrt11)(11 - sqrt11)`
`∴ (11 + sqrt11)(11 - sqrt11) = 11^2 - (sqrt11)^2`
`= 11 xx 11 - sqrt11 xx sqrt11`
`= 121 - sqrt(11 xx 11)`
`= 121 - (11^2)^(1/2)`
= 121 - 11
= 110
Hence the value of expression is 110.
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