Question

rationaliszing factor (2+3)

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Answer 1

Answer:

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

Step-by-step explanation:

We are Given with irrational number that is √2 + √3

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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