Write an irrational number respectively, so that the sum of the square roots of () and 11 is a rational number, and the product of the square roots of () and 11 is a rational number

Write an irrational number respectively, so that the sum of the square roots of () and 11 is a rational number, and the product of the square roots of () and 11 is a rational number

Hello! The answers to this question are as follows:
Write an irrational number respectively, so that the sum of the square roots of (- √ 11 + 1) and 11 is a rational number, and the product of the square roots of (√ 11) and 11 is a rational number
In the first bracket, there is only 11 under the root sign, and the following 1 can be any rational number. In the second bracket, you can also fill in - √ 11
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