book Maths Puzzle Numerical Ability

Rationalize the denominator of -4/ 1+ the sqaure root of 3

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book Other Question

I need to know if I am right on this question, Find the legal values of b in the fraction.

2b^2+3b-10
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b^2-2b-8

I think the answer is b=-5, -2, 2 and 4 S/(2S-1) - 3/1 = -32/3(S+5)