SSC (English Medium) Class 8Maharashtra State Board
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Simplify: 3 √ 16 54 - SSC (English Medium) Class 8 - Mathematics

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Question

Simplify:

`root(3)(16/54)`

Solution

`root(3)(16/54)`

= `root(3)((2 xx 2 xx 2 xx 2)/(2 xx 3 xx 3 xx 3))`

= `root(3)((2 xx 2 xx 2)/(3 xx 3 xx 3))`

= `root(3)((2^3)/(3^3))`

= `root(3)((2/3)^3)`   `[a^m/b^m = (a/b)^m]`

= `2/3`

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APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 3: Indices and Cube root
Practice Set 3.3 | Q: 2.2 | Page no. 18
Solution Simplify: 3 √ 16 54 Concept: Cube and Cube Root.
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