If x = 1/3 + 2√2, then find the value of x – 1/x.
Solution:
Here
1/x = 3 + 2√2/1 = √3 + 2√2
We know that
x – 1/x = (3 – 2√2) – (3 + 2√2)
By further calculation
= 3 – 2√2 – 3 – 2√2
So we get
= -4√2
More Solutions:
- Choose the correct statement:
- Between two rational numbers:
- The product of any two irrational numbers is:
- Which of the following is an irrational number?
- The following is an irrational number?
- A rational number between √2 and √3 is:
- The decimal expansion of the rational number:
- 2√3 + √3 is equal to:
- The number (2 – √3)2 is: