if x=2+√2 the value of x +1/x is what
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Step-by-step explanation:
if x = 2+2½
1/x =1/2+2½
RATIONALIZE 1/x
1/2+2½ × 2-2½/2-2½
2-2½ / (2)²-(2½)²
2-2½ / 4-2
2-2½ / 2
x+1/x = 2+2½ + 2-2½ / 2
= 2(2+2½)+2-2½/2 ( the whole is divided by 2 )
=4+2(2½) + 2-2½ / 2
= 6+2½/2
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