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Question
Given that `sqrt(4096) = 64`, the value of `sqrt(4096) + sqrt(40.96)` is ______.
Options
74
60.4
64.4
70.4
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Solution
Given that `sqrt(4096) = 64`, the value of `sqrt(4096) + sqrt(40.96)` is 70.4.
Explanation:
Given, `sqrt(4096) = 64`
So, `sqrt(4096) + sqrt(40.96)`
= `64 + sqrt(4096 xx 10^-2)`
= `64 + sqrt(4096) sqrt(10^-2)`
= 64 + 64 × 10–1
= 64 + 6.4
= 70.4
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