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Question

# Rationalisation of the numbers states that A) The algebraic identity X2−Y2=(X+Y)(X−Y) which converts two linear expressions into an expression does not have linear terms. B) If X or Y happens to be a square root, the radical will disappear.

A
A is true and B is false
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B
Both A and B are true
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C
Both A and B are false
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D
A is false and B is true
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Solution

## The correct option is B Both A and B are trueThe procedure relies on the algebraic identity X2−Y2=(X+Y)(X−Y) which converts two linear expressions into an expression having no linear terms. If X or Y happens to be a square root, the radical will disappear.

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