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Class 10 Mathematics Real Numbers Irrational numbersExpertLevel 13

If (a=7+4\sqrt{3}), which option represents a square root of (a)?

Answer and explanation

Correct answer: (2+\sqrt{3})

Step 1: ((2+\sqrt{3})^2=4+4\sqrt{3}+3). Step 2: This equals (7+4\sqrt{3}). Step 3: In such questions, identify the form (m+n+2\sqrt{mn}).

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surd square rootidentityclass 10

Frequently asked questions

What is the correct answer to this question?

(2+\sqrt{3})

Why is this the correct answer?

Step 1: ((2+\sqrt{3})^2=4+4\sqrt{3}+3). Step 2: This equals (7+4\sqrt{3}). Step 3: In such questions, identify the form (m+n+2\sqrt{mn}).

Which subject and chapter does this question cover?

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

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