exam Maths Puzzle Numerical Ability

the question is to find the area of a square with a diagnol length of 15radical 2

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exam Other Question

Ok, I've gotten so many examples about irregular square roots. But I still dont understnad it and how they get the answer.

Please help me solve this equation: {{{ √8 }}}. I do not understand the process I am told k=2 but how did that come to be?
when I try to use other sites, the computer tells me variables can not be used as an exponent Thank you -Comicruler

solve for k

x^k-12=(x^2)^-k-3