Question

The simplest rationalising factor of 2√5 - √3 is
A.2√5 + 3
B. 2√5 + √3
C.2√5 + √3
D.√5 -√3

Answer 1

Answer:

both b and c are the answer

Answer 2

Given : 2√5 - √3

To make the denominators free from square roots, we multiply the numerator and denominator by an irrational number. Such a number is called rationalisation factor.

The rationalisation factor for 1/(a ± √b) is a -+ √b and 1/√a is √a .

The rationalisation factor for 2√5 - √3  is 2√5 + √3.

 Among the given options option (B) 2√5 + √3 is correct.

Some more examples :  

The rationalisation factor for (5 + √2)  is (5 - √2)  .

The rationalisation factor for (2/√7)  is √7 .

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Similar questions :

The rationalisation factor of √3 is

A. -√3

B. 1/√3

C. 2√3

D. -2√3

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The rationalisation factor of 2 + √3 is

A. 2 - √3

B. √2 + 3

C. √2 - 3

D. √3 - 2

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