Question

if a= 7+4root3 find the value of a+1/a​

Answer 1

Answer:

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Answer 2

Answer:

According to your question, a = 7 - 4√3. And we have to find value of √a +1/√a. Let, U = √a + 1/√a. Then, U^2 = (√a + 1/√a)^2. This, U^2 = a + 1/a +2.= (7-4√3) + 1/(7-4√3) +2. = (7-4√3) +(7 +4√3)/(7^2 - (4√3)^2) + 2 = (7-4√3) + (7+4√3)/(49 - 48) +2 = 7-4√3 + 7+ 4√3 + 2 U^2 = 16Thus, U = √16 Therefore, √a + 1/√a = 4. (ignoring -4 as it cannot be negative number).

Step-by-step explanation:

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