Question

Could someone please help me with this surd simplifying question? http://imgur.com/G9aiVAI

Answer 1

fluttershy!!!

Answer 2

well given the question is

\[\frac{1}{\sqrt{1} + \sqrt{2}}\]

you would need to multiply by

\[\frac{\sqrt{1}- \sqrt{2}}{\sqrt{1} - \sqrt{2}}\]

so that you ensure the difference of 2 square is correct...

in you're solution your denominator would have been

2 - 1


where in actual fact it should be 1 - 2

hope it helps

Answer 3

which means the solution becomes

\[\frac{\sqrt{1} - \sqrt{2}}{-1} = \sqrt{2} - \sqrt{1}\]