MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Inequalities Involving Mathematical Means

If a,b,c and ...

Question

If a,b,c and d are four positive real numbers such that abcd=1 what is the minimum value of (1+a),(1+b),(1+c) and (1+d)

Open in App

Solution

Suggest Corrections

thumbs-up

0

Similar questions

a

b

c

d

are four positive real numbers such that

a b c d

=

1

, then the minimum value of

(1 + a) (1 + b) (1 + c) (1 + d)

a, b, c, d

are four positive real numbers such that

a b c d = 1

then least value of

(a + 4) (b + 4) (c + 4) (d + 4)

Q. State True or False.

If a, b, c, d are four positive real numbers such that

a b c d = 1

(1 + a) (1 + b) (1 + c) (1 + d) \geq 16

a, b, c, d

be positive real numbers such that

a + b + c + d = \frac{4}{3}

, then the minimum value of

\sqrt{\frac{1}{b + c + d}} + \sqrt{\frac{1}{c + d + a}} + \sqrt{\frac{1}{d + a + b}} + \sqrt{\frac{1}{a + b + c}}

Q. If a, b, c and d are four positive numbers such that a + b + c + d = 4, then what is the maximum value of (a + 1)(b + 1) (c + 1)(d + 1) ?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

AM and GM

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Inequalities Involving Mathematical Means

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon