What is the rationalizing factor of root2 - 3
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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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hyy here is the answer......
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