Question

rationalis 1/1+root 2​

Answer 1

-1+√2 is answer.

I hope It will help you.

Answer 2

Answer:

Question

To rationalise the denominator 1/1 + √2

Answer

as we know to rationalise the denominator we multiply the same number by both numerator and denominator by changing the sign ..

Step-by-step explanation:

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