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Multiplication of Numbers with Square Roots

if P=√(16+8√(...

Question

if P=\sqrt{16+8\sqrt3} - \sqrt{21-12\sqrt3} , then find 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

p + q = 12

p q = 27

, then find the value of

p^{3} + q^{3}

Q. If the mean of

20, 14, 16, 19, p

21

27

then find the value of

^{'} p^{'}

\frac{2 p}{3 p} = \frac{4 k}{6 k} = \frac{2 p + 8 q}{3 p + 12 q}

, then the value of k is .

3 + \frac{1}{4} (3 + P) + \frac{1}{4^{2}} (3 + 2 P) + \frac{1}{4^{3}} (3 + 3 P) + \dots = 8,

then the value of

P

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