If (\sqrt{m}+\sqrt{n}=5) and (m,n) are positive integers, which pair is possible?

Question

Answer and explanation

Correct answer: (m=4,n=9)

Step 1: (\sqrt{4}=2) and (\sqrt{9}=3). Step 2: Their sum is (2+3=5). Step 3: To get a rational integer sum, check perfect squares first.

What is the correct answer to this question?

(m=4,n=9)

Why is this the correct answer?

Step 1: (\sqrt{4}=2) and (\sqrt{9}=3). Step 2: Their sum is (2+3=5). Step 3: To get a rational integer sum, check perfect squares first.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.