Question

if x = 2 + root 3 ,then 1 /x is equal to dash​

Answer 1

Answer: 1/2+√3

Step-by-step explanation:

X=2+√3

=> X/1=2+√3/1

(RECIPROCAL ON BOTH SIDES)

=> 1/X=1/2+√3.

Answer 2

If x = 2 + √3, then  1/x = 2 - √3.

To find 1/x,

we need to divide 1 by x:

1/x = 1/(2 + √3)

To simplify this expression,

we need to rationalize the denominator.

To do this, we multiply the numerator and denominator by the conjugate of the denominator, which is 2 - √3:

1/x = (1/(2 + √3)) * ((2 - √3)/(2 - √3))

Simplifying the numerator and denominator, we get:

1/x = (2 - √3) / (4 - 3)

1/x = (2 - √3) / 1

Therefore, 1/x = 2 - √3.

In summary:

If x = 2 + √3, then 1/x = 2 - √3.

Explanation: We rationalized the denominator of 1/x by multiplying the numerator and denominator by the conjugate of the denominator.

This allowed us to simplify the expression and find the value of 1/x.

For similar question on Rationalization.

https://brainly.in/question/2792597

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