Question

if x is equal to 9 + 4 root 5 then find the value of root x minus one by rootx​

Answer 1

Answer:

Therefore, the value of √x - (1/√x) = 4.

Given x = 9 + 4√5.

⇒ 4 + 5 + 2 * 2 * √5

⇒ (2)^2 + (√5)^2 + 2 * (2) * (√5)

It is in the form of a^2 + b^2 + 2ab = (a + b)^2.

⇒ (2 + √5)^2.

So, x = (2 + √5)^2.

Then, √x = (2 + √5).

Hence,

⇒ √x - (1/√x)

⇒ (2 + √5) - (√5 - 2)

⇒ 2 + √5 - √5 - 2

⇒ 4.

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Answer 2

Answer:

4 .

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