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State whether true or false: √2 + √3 = √5 - Mathematics

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Question

State whether true or false:

√2 + √3 = √5

True or False
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Solution

The statement is false.

Explanation:

Because: 
√2 + √3 ≠ √5

Numerically:
√2 ​≈ 1.414, √3 ​≈ 1.732

So,
√2 + √3 ≈ 3.146

But,
√5 ≈ 2.236

Clearly, they are not equal.

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Chapter 1: Rational and Irrational Numbers - Exercise 1 (B) [Page 13]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1 (B) | Q 3.1 | Page 13
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