book Maths Puzzle Numerical Ability

x/sqrt(x^2+7)=y solve step by step for x

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book Other Question

My question says to simplify the radical
(radical sign 6 - radical sign 5)(radical sign 6 + radical sign 5)
Thank you
How can you prove that:

odd + odd = even
even + even = even (you initially put even + even = odd)
odd + even = odd

????