Question

what is the rationalizing factor of 1/1+root 2


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plz​

Answer 1

Step-by-step explanation:

Rationalizing factor is the smallest number that is required to make the denominator a rational number.

Of course, sqrt(2) is not a rational number since it cannot be written as a fraction. To rationalize, we need the smallest number that will make sqrt(2) a rational number, which is itself. sqrt(2) * sqrt(2) is 2. We need to multiply sqrt(2) on the numerator too to make the number we’re multiplying equal to 1.

Answer: sqrt(2)/2

Answer 2

Answer:

$\frac{1}{1 + \sqrt{2} } \times \frac{1 - \sqrt{2} }{1 - \sqrt{2} } \\ = \frac{1 - \sqrt{2} }{ {1}^{2} - 2 } \\ = \frac{1 - \sqrt{2} }{ - 1} \\ = - 1 + \sqrt{2}$