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

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Question

State whether true or false in the following:

`sqrt(9) - sqrt(4) = sqrt(5)`

True or False
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Solution

This statement is false.

Explanation:

Step-by-step:

  • `sqrt(9) = 3`
  • `sqrt(4) = 2`

So, 3 – 2 = 1 but `sqrt(5) ≈ 2.236`

`1 ≠ sqrt(5)`

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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. (vi) | Page 11
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