If ( a + b n ) (a + b\sqrt{n}) ( a + b n ) is the positive square root of ( 29 − 12 5 ) (29 - 12\sqrt{5}) ( 29 − 12 5 ) , where a a a and b b b ar...

CAT Easy Surds & Indices MCQ

Question

(a + b\sqrt{n})

is the positive square root of

(29 - 12\sqrt{5})

, where

a

and

b

are integers, and

n

is a natural number, then the maximum possible value of

(a + b + n)

is:

cat 2024surdssquare roots

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