x=√10 +3 then find the value of x3-1/x3Choices:- 254 213 313 234

To find the value of x, we start by simplifying the given equation x = √10 + 3.

Step 1: Simplify the square root √10 can be simplified as 3.16227766017 (approximately).

Step 2: Add 3 to the simplified square root x = 3.16227766017 + 3

Step 3: Evaluate the sum x = 6.16227766017

Now, we can find the value of x^3 - 1/x^3.

Step 4: Cube x x^3 = (6.16227766017)^3 x^3 = 238.732414637 (approximately)

Step 5: Calculate 1/x^3 1/x^3 = 1/238.732414637 1/x^3 = 0.004189

Step 6: Subtract 1/x^3 from x^3 x^3 - 1/x^3 = 238.732414637 - 0.004189

Step 7: Simplify the difference x^3 - 1/x^3 = 238.728225637 (approximately)

Therefore, the value of x^3 - 1/x^3 is approximately 238.728225637.

None of the given choices (254, 213, 313, 234) match the calculated value.