Maharashtra State BoardSSC (English Medium) 8th Standard

If 3 √ 729 = 9 Then 3 √ 0.000729 = ? - Mathematics

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Sum

If `root(3)(729)` = 9 then `root(3)(0.000729) = ?`

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Solution

It is given that , 

`root(3)(729)` = 9

`root(3)(0.000729) = root(3)(729/1000000)`

= `root(3)(729)/root(3)(1000000)`

= `root(3)(9^3)/root(3)((100)^3)`

= `9/100`

= 0.09

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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 3 | Page 18
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