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Question
If \[\sqrt{2} = 1 . 414,\] then the value of \[\sqrt{6} - \sqrt{3}\] upto three places of decimal is
Options
0.235
0.707
1.414
0.471
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Solution
Given that`sqrt2 = 1.414` .We need to find `sqrt6 - sqrt3`.
We can factor out from the given expression, to get
`sqrt6 - sqrt3 = sqrt3(sqrt2 - 1)`.
Putting the value of`sqrt2`, we get
`sqrt3 (sqrt2-1) = sqrt3(1.4142 - 1)`
`=1.732xx0.4142`
`= 0.7174`
Hence the value of expression must closely resemble be`0.707.`
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