If x=√6+√5 .then find x²+ 1/x² -2.
Answers
Answered by
1
Answer:
1.2 is the answer
Step-by-step explanation:
x=root 6 +root 5--------1
put x =1 equation
x^2+1/x^2-2
(6+5)+1/(6+5)-2
11+1/11-2
12/10
1.2
Answered by
0
Concept Used :-
Method of Rationalization :-
- Rationalization is the process of eliminating a radical or imaginary number from the denominator or numerator of an algebraic fraction. That is, remove the radicals in a fraction so that the denominator or numerator only contains a rational number.
- The denominator of the above fraction has a binomial radical i.e., is the sum of two terms, one of which is an irrational number.
- Multiply the numerator and denominator of the fraction with the conjugate of the radical.
Given that
So,
- On rationalizing the denominator, we get
Now,
- Consider,
Alternative method
We have to find the value of
Useful Identities :-
Similar questions