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Choose the incorrect relation(s) from...

Choose the incorrect relation(s) from the following :
(I ) ` sqrt(6) + sqrt(2) = sqrt(5) + sqrt(3)`
(ii) `sqrt(6) + sqrt( 2) lt sqrt(5) + sqrt (3)`
(iii) `sqrt(6) + sqrt(2) gt sqrt(5) + sqrt(3)`

A

(ii) and (iii)

B

(i)

C

(ii)

D

(i) and (iii)

Text Solution

Verified by Experts

The correct Answer is:
D
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(i) 3sqrt(5) by 2sqrt(5) ,(ii) 6sqrt(15) by 4sqrt(3) , (iii) 2sqrt(6) by 3sqrt(3) (iv) 3sqrt(8) by 3sqrt(2) ,(v) sqrt(10) by sqrt(40) , (vi) 3sqrt(28) by 2sqrt(7)

Simplify: (i) (2 sqrt(2) + 3 sqrt(3)) (2 sqrt(2) - 3 sqrt(3)) (ii) (2 sqrt(8) - 3 sqrt(2))^(2) (iii) (sqrt(7) + sqrt(6))^(2) (iv) (6 - sqrt(2))(2 + sqrt(3))

The value of 5sqrt(3) + 7sqrt(2) - sqrt(6) - 23/(sqrt(2) + sqrt(3) + sqrt(6)) is:

(sqrt(6)+sqrt(5)+ 1/(sqrt(6)+sqrt(5)))^2

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