Maharashtra State BoardSSC (English Medium) 8th Standard

Simplify: 3 √ 27 125 - Mathematics

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Sum

Simplify:

`root(3)(27/125)`

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Solution

`root(3)(27/125)`

= `root(3)((3 xx 3 xx 3)/(5 xx 5 xx 5))`

= `root(3)((3^3)/(5^3))`

= `root(3)((3/5)^3)`  `[a^m/b^m = (a/b)^m]`

= `3/5`

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Chapter 3: Indices and Cube root - Practice Set 3.3 [Page 18]

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Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 3 Indices and Cube root
Practice Set 3.3 | Q 2.1 | Page 18
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