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Estimating Sum or Difference

If P equal to...

Question

If P equal to whole root 16 +8√3 - whole root 21- 12√3 then what is the value of p?

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P = \sqrt{16 + 8 \sqrt{3}} - \sqrt{21 - 12 \sqrt{3}}

, then the value of P is

^{'} 2^{'}

is repeated root of the cubic equation

3 x^{3} + p x^{2} + q x - 12 = 0

Then the value of

p + q

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