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State with reason, whether the following is a surd and which is not? 6⁢√16 - Mathematics

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Question

State with reason, whether the following is a surd and which is not?

`6sqrt(16)`

Sum
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Solution

Not Surd

Reason:

Given: `6sqrt(16)`

Step-wise calculation:

  1. Simplify: `sqrt(16) = 4`
  2. Multiply: 6 × 4 = 24

Since the expression `6sqrt(16)` simplifies to 24, which is a rational number (not irrational), it is not a surd.

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Chapter 1: Rational and Irrational Numbers - Exercise 1D [Page 27]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1D | Q 1. (ii) | Page 27
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