Maharashtra State BoardSSC (English Medium) 8th Standard

Simplify: 3 √ 16 54 - Mathematics

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Sum

Simplify:

`root(3)(16/54)`

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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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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 2.2 | Page 18

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