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Question

(B) To find the rationalising factor of an expression of the form $a - \sqrt{b}$,we multiply it by its conjugate $a + \sqrt{b}$ to eliminate the squar

Vedclass · Accepted Answer

$4+\sqrt{5}$

Vedclass · Answer

(B) To find the rationalising factor of an expression of the form $a - \sqrt{b}$,we multiply it by its conjugate $a + \sqrt{b}$ to eliminate the square root.Here,the given expression is $4 - \sqrt{5}$.Multiplying $4 - \sqrt{5}$ by $4 + \sqrt{5}$ gives $(4)^2 - (\sqrt{5})^2 = 16 - 5 = 11$,which is a rational number.Therefore,the rationalising factor of $4 - \sqrt{5}$ is $4 + \sqrt{5}$.

For each question,select the proper option from four options given,to make the statement true: The rationalising factor of $4-\sqrt{5}$ is...........

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