Question

Rationalisation of the numbers states that
A) The algebraic identity
$X^2-Y^2=(X+Y)(X-Y)$
which converts two linear expressions into an expression does not have linear terms.

$B)\text{If}X\text{or}Y$ happens to be a square root, the radical will disappear.

• A. A is true and B is false
• B. Both A and B are true
• C. Both A and B are false
• D. A is false and B is true

Answer 1

The correct option is B Both A and B are true

The procedure relies on the algebraic identity
$X^2-Y^2=(X+Y)(X-Y)$
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.