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The value of (root(3)(3.5)+root(3)(2.5))...

The value of `(root(3)(3.5)+root(3)(2.5)){(root(3)(3.5))^(2)-root(3)(8.75)+(root(3)(2.5))^(2)}` is :

A

5.378

B

1

C

6

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
`(root(3)(3.5)+root(3)(2.5)){(root(3)(3.5))^(2)-root(3)(8.75)+(root(3)(2.5))^(2)}`
माना कि `a=root(3)(3.5)`
तथा `b=root(3)(2.5)`
`:.(a^(3)+b^(3))=(a^(2)-ab+b^(2))(a+b)`
`:.{root(3)(3.5)}^(3)+{root(3)(2.5)}^(3)`
`=3.5+2.5=6`
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