It is better to multiply both numerator and denominator immediately by √3+√2 and then, without actual multiplying numerator, cancel both sides, because the denominator will result in previous numerator. Also you don't need to divide x^8/x, because x^7 = (x^2*x)^2*x - numbers (coefficients) will be smaller.
Excellent 👍 method
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It is better to multiply both numerator and denominator immediately by √3+√2 and then, without actual multiplying numerator, cancel both sides, because the denominator will result in previous numerator.
Also you don't need to divide x^8/x, because x^7 = (x^2*x)^2*x - numbers (coefficients) will be smaller.
Why not use Pascal's triangle and binomial expansion?
Very easy , (+√12 / -√12 )^7
Do it 7 times .
x^6=x^4.x^2
x^7=x^6.x
ist that easier
All of these types of exercises are quite worthless in the real world. Ask any engineer or scientist. It is really a vanity.
What's your point? Perhaps some people simply enjoy algebra problems for their own sake.