Question

p²+1/p²=23, p+1/p what is the value of​

Answer 1

Answer:

p+1/p=√23

Step-by-step explanation:

hope it help us

Answer 2

Answer:

√21

Step-by-step explanation:

Given,

$p {}^{2} + \frac{1}{p {}^{2} } = 23 \\ = p {}^{2} + \frac{1}{p {}^{2} } = 21 + 2 \\ = p {}^{2} + \frac{1}{p {}^{2} } - 2 = 21 \\ = p {}^{2} + 2(p {}^{2}) (\frac{1}{p {}^{2} } ) + ( \frac{1}{p} ) {}^{2} = 21 \\ by \: using \: identity \: a {}^{2} + 2ab + b {}^{2} \\ = (a + b) {}^{2} \\ therefore \: (p + \frac{1}{p} ) {}^{2} = 21 \\ taking \: square \: root \: of \: both \: the \: sides \: \\ \sqrt{(p + \frac{1}{p {}^{} }) {}^{2} } = \sqrt{21} \\ = p + \frac{1}{p {}^{} }{}^{} = \sqrt{21}$

Hope this will help you!!