Question

if x= 9+4√5 find the value of √x - (1/√x)

Answer 1

hope it helps you ✌✌

Answer 2

The value of x-1/√x is {(8+4√5)√(9+4√5)}/(9+4√5).

Given,

that x=9+4√5

To find,

√x-1/√x.

Solution,

To find the value of such questions, we have to rationalize to get a simplified answer. For the fraction questions where the power is in a fraction, we multiply the numerator and the denominator with the same power but different signs in between the terms. Further solving the question, we will get the answer.

We have to find the value of √x-(1/√x).

Let's solve it first,

√x-(1/√x)

(x-1)/√x

Now, let's put the value,

(9+4√5-1)/√(9+4√5)

(8+4√5)/√(9+4√5).

We could have rationalized the denominator but we will not get any exact real number. So, to keep the answer easy we can keep it like this.

On rationalizing the answer will be,

{(8+4√5)√(9+4√5)}/(9+4√5).

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