Prove that--
{(3+2*5^1/4) ÷ (3-2*5^1/4)}^1/4=( 5^1/4 +1) ÷ ( 5^1/4 -1)
If you cannot understand it ,can u teach me how to write it using mathematical signs.
But for the time being prove it......
It is simply impossible to prove it
I have spent my 1 month on it
but i assure you that this question is correct
Hello, jashansinghal!
Wow . . . This is a messy one!
This is equivalent to: .Prove that: .^{\frac{1}{4}} \;=\; \frac{5^{\frac{1}{4}} +1} {5^{\frac{1}{4}} -1})
^4 )
On the right side, the numerator is: .
. . . . .
Factor: . + 4\cdot5^{\frac{1}{4}}\left(5^{\frac{1}{2}}+1\right ) \;=\;\left(6+4\cdot5^{\frac{1}{4}}\right)\left(5^{ \frac{1}{2}} + 1\right))
On the right side, the denominator is: .
. . . . .
Factor: . - 4\cdot5^{\frac{1}{4}}\left(5^{\frac{1}{2}}+1\right ) \;=\;\left(6-4\cdot5^{\frac{1}{4}}\right)\left(5^{\frac{1}{2}} + 1\right))
The fraction on the right becomes: .\left(5 ^{\frac{1}{2}}+1\right)} {2\left(3-2\cdot5^{\frac{1}{4}}\right)\left(5^{\frac{1}{2}}+ 1\right)})
Hence, we have: .
Therefore: .
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