If a = 10, b = [3]32 and c = 2 + 3, which of the following is true?

If a = 10, b = [3]32 and c = 2 + 3, which of… | GMAT Sprint

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PS · Problem Solving

705-805

Divisibility/Multiples/Factors

If $a = \sqrt{10}$ , $b = \sqrt[3]{32}$ and $c = \sqrt{2} + \sqrt{3}$ , which of the following is true?

Correct answer marked below

a > b > c

b > a > c

Correct

b > c > a

c > a > b

c > b > a

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Explanation

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This can be solved by using an estimation approach.

Let's consider the nearer numbers:

a = \sqrt{10} \approx 3.16

b = \sqrt[3]{32} = 2 \cdot \sqrt[3]{4} \approx 2 \cdot 1.587 = 3.174

c = \sqrt{2} + \sqrt{3} \approx 1.414 + 1.732 = 3.146

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What this question tests

Your understanding of divisibility rules, least common multiples, and greatest common factors.

Forgetting that 1 is not prime and that every integer divides 0.