if x = √3+√2 , then find the value of (x + 1/x)
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Answer:
26/5
Step-by-step explanation:
First x=√3+√2
=3+2=5
THEN THE VALU OF (X+1/X)
=(5+1/5)
=26/5
Verified answer
Answer:
[tex]x = \sqrt{3} + \sqrt{2} [/tex]
[tex] \frac{1}{x} = \frac{1}{ \sqrt{3} + \sqrt{2} } [/tex]
[tex] \frac{1}{x} = \frac{1}{ \sqrt{3} + \sqrt{2}} \times \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} - \sqrt{2} } [/tex]
[tex] \frac{1}{x} = \frac{ \sqrt{3} - \sqrt{2} }{3 - 2} [/tex]
[tex] \frac{1}{x} = \sqrt{3} - \sqrt{2} [/tex]
[tex]x + \frac{1}{x} = \sqrt{3} + \sqrt{2} + \sqrt{3} - \sqrt{2} [/tex]
[tex]x + \frac{1}{x} = 2 \sqrt{3} [/tex]