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2 results found for "square root sum" in Class 10.

Question Expert Mathematics Real Numbers 5: Irrational numbers Class 10 Level 14

यदि \(\sqrt{m}+\sqrt{n}=7\) और (m,n) धनात्मक पूर्णांक हैं, तो कौन-सा युग्म निश्चित रूप से संभव है?

If \(\sqrt{m}+\sqrt{n}=7\) and (m,n) are positive integers, which pair is definitely possible?

Explanation opens after your attempt
Correct Answer

A. (m=9,n=16)

Step 1

Concept

\(\sqrt{9}=3\) and \(\sqrt{16}=4\).

Step 2

Why this answer is correct

Their sum is (3+4=7), so this pair satisfies the condition.

Step 3

Exam Tip

To get an integer sum, first check the perfect-square options. चरण 1: \(\sqrt{9}=3\) और \(\sqrt{16}=4\) हैं। चरण 2: इनका योग (3+4=7) है, इसलिए यह युग्म शर्त पूरी करता है। चरण 3: पूर्णांक योग पाने के लिए पहले पूर्ण वर्ग वाले विकल्प जाँचें।

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Question Expert Mathematics Real Numbers 5: Irrational numbers Class 10 Level 13

यदि \(\sqrt{m}+\sqrt{n}=5\) और (m,n) धनात्मक पूर्णांक हैं, तो कौन-सा युग्म संभव है?

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

Explanation opens after your attempt
Correct Answer

A. (m=4,n=9)

Step 1

Concept

\(\sqrt{4}=2\) and \(\sqrt{9}=3\).

Step 2

Why this answer is correct

Their sum is (2+3=5).

Step 3

Exam Tip

To get a rational integer sum, check perfect squares first. चरण 1: \(\sqrt{4}=2\) और \(\sqrt{9}=3\)। चरण 2: इनका योग (2+3=5) है। चरण 3: परिमेय पूर्णांक योग पाने के लिए पूर्ण वर्गों को पहले जाँचें।

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