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Which of the following is heterogeneous ?
Question

Which of the following is heterogeneous ?

A.

35\frac{3}{5}​​

B.

164√\frac{16}{4}​​

C.

25\frac{√2}{5}

D.

259\frac{25}{9}

Correct option is C

Step 1: Define "heterogeneous"

In mathematical terms, a heterogeneous quantity usually refers to an expression that has different types of elements, such as a combination of rational and irrational numbers.

Step 2: Analyze each option

1. Option A: 3/5: This is a simple fraction of two integers, which is a rational number.

2. Option B: √(16/4): Simplifying the expression:

√(16/4) = √4 = 2

This is an integer.

3. Option C: √2/5: Here, √2 is an irrational number, and 5 is a rational number. So, this is a fraction of a rational and an irrational number, which makes it a heterogeneous expression.

4. Option D: 25/9: This is a fraction of two integers, which is a rational number.


Conclusion:

Option C: √2/5 is the heterogeneous expression, as it involves both a rational and an irrational number.


Final Answer:

Option C) √2/5

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