Question

Rationalising factor of 3 + √2 is

(a) √3 - √2 (b) 3 - √2 (c) 3 + √2 (d) none

4. In 4√a, a is called

(a) Radical sign (b) radical (c) radicand (d) both B & C

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Answer 1

Answer 1:Rationalization factor of √2 + √3 is √2 - √3.

Answer 2:radical

Step by step Explanation:

Answer 1: We need to find Rationalization factor of given number.

Rationalization factor of a number is a number whose product with given number gives a rational number.

Here we get a rational number when √2 - √3  is multiplied with √2 + √3 .

⇒ ( √2 + √3  ) × ( √2 - √3  )

   = ( √2 )² - ( √3 )²   (using identity, a² - b² = ( a - b )( a + b ))

   = 2 - 3

   = -1

Therefore, Rationalization factor of √2 + √3 is √2 - √3.

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