Maths-
General
Easy
Question
a = +, b = + and c = + , then which of the following holds true?
i) c > a > b ii) a > b > c iii) a > c > b iv) b > a > c
Hint:
Hint:
If two numbers x and y are given and it is also given that x > y, then we say that x2 > y2 and vice versa is also possible.
The correct answer is: a > b > c
Step 1 of 2:
a = +
Squaring both sides
....... (1)
Squaring both sides
..... (2)
Squaring both sides
Step 2 of 2:
We can see that from equation (1) and (2), a2 > b2 which means a > b, and from equation (2) and (3) b2 > c2 which means b > c.
Final Answer:
We found that a > b and b > c. So, we can conclude that a > b > c. Hence, option (ii) is correct.
Note:
This question can simply be solved by finding the values of all the square roots and then using them in finding the values of a, b and c and then their values can be easily compared.
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