Let A1 and A2 be two arithmetic means and G1, G2 and G3 be three geometric means of two distinct

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Let A1 and A2 be two arithmetic means and G1, G2 and G3 be three geometric means of two distinct positive numbers. Then G1^4+G2^4+G3^4+G1^2.G3^2 is equal to:
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What was the point of taking square of ( G1², G3²) When we could just check (G1, G3), which would give us (ab)??

artrisk
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probably the best channel to provide solutions for maths

coefficientofrestitution
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Sir ji you are very hard working for the jee students

manishmaurya