If a, b, c be positive real numbers then prove that
If a, b, c be positive real numbers then prove that
Namrata Saha , 4 Years ago
Grade 12th pass
Algebra> If a, b, c be positive real numbers then ...
1 AnswersSrutarshi Tripathi
Last Activity: 4 Years ago
Required to Prove :
(a2b + b2c + c2a)(ab2 + bc2 + ca2) > 9a2b2c2
or, abc(a/c + b/a + c/b ) x abc(b/c + c/a + a/b) > 9a2b2c2
or, (a/c + b/a + c/b )2 > 9
Proof:
applying AM-GM INEQUALITY,
a/c + b/a + c/b > 3
Hence , squaring both sides we get the required inequality
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Other Related Questions on algebra
Can we divide two vectors? If this is possible then how?
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available
Last Activity: 1 Year ago
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available
Last Activity: 1 Year ago
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
1 Answer Available
Last Activity: 2 Years ago