exam Maths Puzzle Numerical Ability

(rs) radical sign

Is (rs)38 a rational or irrational number?
I think it is irrational because it is not a perfect square.

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exam Other Question

Prove that for each integer n>o
1x5+2x5^2+3x5^3+...+nx5^n=[5+(4n-1)5^n+1]/16 please help me with finding the equation of the line with a slope of -1/2 that passes through (2,-4). State in slope intercept form.