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The approximate value of root(3)(28) is...

The approximate value of ` root(3)(28)` is

A

3.0037

B

3.037

C

3.0086

D

3.37

Text Solution

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The correct Answer is:
B

Let `y=root(3)(28)`
Taking log on both sides , we get
`logy=(1)/(3)`log 28
`(1)/(3) xx 1.4472`
`=0.4824`
`implies y`= antilog (0.4824)
= 3.037 ( approximately )
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