Question

what is 2 / (2+root2)​

Answer 1

Answer:

2/2×2

2/4=1/2

Step-by-step explanation:

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Answer 2

Question:

$\frac{2}{2 + \sqrt{2} }$

Solution:

Rationalising the denominator:

$\frac{2}{2 + \sqrt{2} } \times \frac{2 - \sqrt{2} }{2 - \sqrt{2} }$

$\frac{2(2 - \sqrt{2}) }{2 ^{2} - (\sqrt{2})^{2} }$

$\frac{2(2 - \sqrt{2} )}{4 - 2}$

$\frac{2(2 - \sqrt{2}) }{2}$

$2 - \sqrt{2}$