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State whether true or false in the following: sqrt(4^2 + 5^2) = 9 - Mathematics

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Question

State whether true or false in the following:

`sqrt(4^2 + 5^2) = 9`

True or False
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Solution

This statement is false.

Explanation:

Step-by-step:

  • 42 = 16
  • 52 = 25

`sqrt(16 + 25) = sqrt(41) ≈ 6.4`

But the right-hand side is 9.

`sqrt(41) ≠ 9`

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Chapter 1: Rational and Irrational Numbers - EXERCISE 1B [Page 11]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
EXERCISE 1B | Q 2. (v) | Page 11
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