If x=7+√40, find the value of√x + 1/√x
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root x = root 5 + root 2, ( a + b )2 = a2 + b2 + 2ab. hence
root x + 1 / root x = 8 + root 40 / root 5 + root 2
rationalising and simplifying, we get
4 root 5 + 2 root 2 / 3
root x + 1 / root x = 8 + root 40 / root 5 + root 2
rationalising and simplifying, we get
4 root 5 + 2 root 2 / 3
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Answer Ans is 2/3 (2√5+√2)
Step-by-step explanation:
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