Question

OK, can't figure out now how (x^(1+sqrt(2)))/(1+sqrt(2)) simplifies to (sqrt(2)-1)x^(sqrt(2)+1)

Help me out here please.

Answer 1

Hey Pansi can you help me?

Answer 2

hey mert can you help me?

Answer 3

Pasi, if what you have typed is correct, the exponent, 1+sqrt2 divided by 1+sqrt2 = 1 so your expression would be x^1. You must have typed something wrong.

Answer 4

Clearer question, how:
\[(x^{\sqrt(2)+1})/(\sqrt(2)+1)\]
simplifies to:
\[(\sqrt(2)-1)x^{\sqrt(2)+1}\]
?

Answer 5

multiply top and bottom by 1-sqrt(2)

Answer 6

\[(1+\sqrt2)(1-\sqrt2)= 1-2= -1 \]
in the denominator.

Answer 7

using (a-b)(a+b)= a^2 - b^2

Answer 8

get rid of the -1 in the denominator by multiplying top and bottom by -1, this changes the 1-sqrt(2) to sqrt(2)-1

Answer 9

Of course! Thank you very much!

Answer 10

fyi, you always use this trick to get rid of radicals in the denominator.

Answer 11

Yes, I knew it ones, but had forgotten it :) Thank you for the reminder :D

Answer 12

Find the critical point(s) of \[f(x,y)=e ^{3x ^{2}}+e ^{y ^{2}}\] and check whether it is relative maxima, relative minima or a saddle point by using second partial derivative test.

Answer 13

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