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Express the following surd in simplest form. sqrt(75) - Mathematics

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Question

Express the following surd in simplest form.

`sqrt(75)`

Simplify
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Solution

To simplify `sqrt(75)`:

Step-by-step:

Factor 75:

`75 = 25 xx 3`

`sqrt(75) = sqrt(25 xx 3)`

= `sqrt(25) xx sqrt(3)`

= `5sqrt(3)`

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Chapter 1: Rational and Irrational Numbers - EXERCISE 1C [Page 15]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
EXERCISE 1C | Q 2. (i) | Page 15
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