book Maths Puzzle Numerical Ability

If a and b are distinct real numbers such that a-b and a^2 -b^2 are rational, must a and b be rational?

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book Other Question

Find the exponential form of - 1 - i. ASSUME THAT LOG 4=0.6021, LOG 5=0.699 AND LOG 6=0.7782 USE THE PRPETIES OF LOGARITHMS TO EVALUATE EACH EXPRESSION ROUNF YOUR ANSWER TO THE NEAREST THOUSANDTH

1.) log 0.8

2.) log 30