Introduction

To find the value of X in the expression X = 7 * √3, we need to evaluate the expression 1/X. Let's break down the solution step by step.

Step 1: Evaluate X

Given that X = 7 * √3, we can simplify this expression by multiplying 7 with the square root of 3.

X = 7 * √3
X = 7 * (3)^(1/2)
X = 7 * √(3)
X = 7√3

Step 2: Evaluate 1/X

Now, let's evaluate the expression 1/X. To do this, we need to find the reciprocal of X.

1/X = 1/(7√3)

Step 3: Rationalizing the denominator

To rationalize the denominator, we need to multiply both the numerator and the denominator by the conjugate of the denominator. In this case, the conjugate of 7√3 is 7√3.

1/X = (1 * 7√3) / (7√3 * 7√3)
1/X = 7√3 / (7 * 3)
1/X = 7√3 / 21
1/X = √3 / 3

Conclusion

The value of X is 7√3, and the value of 1/X is √3 / 3.