exam Maths Puzzle Numerical Ability

use coordinate geometry to prove that the diagonals of a square are perpendicular.

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exam Other Question

Simplify, use only radicals in answer:
12(rs)18+2(rs)2-3(rs)8
I came up with 32(rs) 2
Can someone tell me if this is correct or where I went wrong? Thanks!! I need help with this homework: evaluate the logarithm using the change-of-base formula
*log2 17.95
*log7 (2/3)