\sqrt{a^(2)+ab+b^(2)} +\sqrt{ a^(2)+ac+c^(2) } \geq \sqrt{ b^(2)+bc+c^(2)

Benoit Patra asked Apr 20, 2022

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22 votes

$\sqrt{a^(2)+ab+b^(2)} +\sqrt{ a^(2)+ac+c^(2) } \geq \sqrt{ b^(2)+bc+c^(2)$

Benoit Patra asked Apr 20, 2022

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25 votes

Answer:

Solution given:

$\sqrt{a^(2)+ab+b^(2)} +\sqrt{a^(2)+ac+c^(2)}+ \sqrt{ b^(2)+bc+c^(2)}$

√((a+b)²) +√( (a+c)² )+√((b+c)²)

a+b+a+c+b+c

2a+2b+2c

2(a+b+c)

Dhaker answered Apr 26, 2022

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