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Write the simplest rationalising factor of sqrt(48). - Mathematics

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Question

Write the simplest rationalising factor of `sqrt(48)`.

Simplify
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Solution

To find the simplest rationalising factor of `sqrt(48)`, follow these steps:

Step 1: Simplify the surd

`sqrt(48) = sqrt(16 xx 3) = 4sqrt(3)`

Only the irrational part `sqrt(3)` needs to be rationalised.

Simplest Rationalising Factor:

Rationalising factor of `sqrt(48) = sqrt(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 3. (ii) | Page 15
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