Rationalize the denominator y²/√x²+√y²+²
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Step-by-step explanation:
x=[(5^1/2+1)/(5^1/2–1)]^1/2
Multiply above and below by(5^1/2+1)^1/2
x=(5^1/2+1)/2……………(1)
5x=(5/2).(5^1/2+1)………………(2)
squaring both sides eq.(1)
x^2=(5+1+2.5^1/2)/4=(6+2.5^1/2)/4
x^2=(3+5^1/2)/2
5.x^2=(5/2)(3+5^1/2)
5x^2+1=(5/2)(3+5^1/2)+1…………………….(3)
Subtract eq.(2) from eq.(3)
5x^2+1–5x=(5/2)(3+5^1/2)+1–(5/2)(5^1/2+1)
5x^2–5x+1=(5/2)(3+5^1/2–5^1/2–1)+1
5x^2–5x+1=5+1=6 , Answer
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