Let a = 2√2 +1, b = 3 + √3 and c = √5 + √6. Then, point out the correct alternative among the four alternatives given below.a) a > b > cb) c > b > ac) b > a > cd) b > c > a
Question
Let a = 2√2 +1, b = 3 + √3 and c = √5 + √6. Then, point out the correct alternative among the four alternatives given below.a) a > b > cb) c > b > ac) b > a > cd) b > c > a
Solution
To solve this problem, we need to compare the values of a, b, and c.
First, let's calculate the values of a, b, and c:
a = 2√2 + 1 = 2*1.41 + 1 = 2.82 + 1 = 3.82 b = 3 + √3 = 3 + 1.73 = 4.73 c = √5 + √6 = 2.24 + 2.45 = 4.69
Now, let's compare these values:
a = 3.82 b = 4.73 c = 4.69
From these calculations, we can see that b > a > c.
Therefore, the correct alternative is d) b > a > c.
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